How high is the end of a 70 foot ramp when it is tipped to an angle of 45 degrees?​

Answers

Answer 1

Answer:

35[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This scenario can be represented and solved by drawing a triangle. The hypotenuse of the triangle represents the ramp which has a length of 70 feet. The angle between the hypotenuse and the leg of the triangle that is parallel to the ground is 45 degrees. Since we know that this is a right triangle, we can conclude that this is a 45-45-90 degree right triangle. We can use the ratios of the sides of special right triangles to solve the problem from here. We know that the two sides and the hypotenuse of a 45-45-90 triangle can be represented as x, x, and x[tex]\sqrt{2}[/tex] respectively. This means that the hypotenuse of 70 feet is equal to x

Then we solve the following equation:

x[tex]\sqrt{2}[/tex] = 70        

x = [tex]\frac{70}{\sqrt{2} }[/tex]

x = [tex]\frac{70}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]    

x = [tex]\frac{70\sqrt{2} }{\sqrt{4} }[/tex]

x = [tex]\frac{70\sqrt{2} }{2}[/tex]

x = [tex]35\sqrt{2}[/tex]

This means that each side of the triangle has a length of [tex]35\sqrt{2}[/tex] so that is also the height of the end of the ramp from the ground.

How High Is The End Of A 70 Foot Ramp When It Is Tipped To An Angle Of 45 Degrees?

Related Questions

What is the measure of ACB in O below?​

Answers

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

Can someone please help me I don’t understand this at all

Answers

Answer:

140.3 ft³

Step-by-step explanation:

Volume of cylinder = πr²h

                                = π x 1.5² x 4

                                = 28.3 ft³

P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft

Volume of cuboid = lwh

                              = 7 x 4 x 4

                              = 112 ft³

Total volume = 112 + 28.3 = 140.3

Hope this helps!

In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.

Answers

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches

Please help. Explain as well

Answers

Answer:

Angle 1 is 105°

Angle 2 is 75°

Step-by-step explanation:

Angle 2 is the same angle as angle 6 which is 75°

Angle 1 can be found by subtracting 75° (angle 2) from 180° which is the angle of a straight line. Which equals 105°.

Hope this helps! :)

what is what is 2000 * 3000​

Answers

Answer:

600,000

Step-by-step explanation:

Answer:

6,000,000

Step-by-step explanation:

Simply put: Multiply 2 • 3

Then add the zeros, there are 6 zeros total, so just add them to the 6. boom! 6,000,000. Or just use a calculator ;)

Hope this helps!

Work out the size of angle x
Pls help thx !

Answers

Answer:

83

Step-by-step explanation:

not sure tho____________

Answer:

83 degrees

Step-by-step explanation:

The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so

43 + x = 126

x = 83 degrees

Second way

exterior angle + inner angle = 180

126 + inner angle = 180

inner angle = 54

the sum of the inner angles of a triangle is 180 degrees

54 + 43 + x = 180

97 + x = 180

x = 83 degrees

find the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1 ​

Answers

Answer:

8,654,210 and 1,024,568

Step-by-step explanation:

biggest number to smallest

Please someone help quickly!!!

Answers

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7


A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.

Answers

Mark Brainliest please.

Answer : The ladder will reach 20.6 feet.

Explanation:

Refer the image attached for explanation

The ladder will reach a height of 20.6 feet

The given parameters are:

Length = 45-footHeight = 27 feet

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C

Answers

Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)



the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]

Answers

Answer:

option b) -2/5

Step-by-step explanation:

Using the rule :

             [tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]

             [tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]

[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]

Answer:

[tex]\sqrt[3]{-\frac{8}{125} }[/tex]

[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]

So, your answer is B) - 2/5

-----------------------------

hope it helps...

have a great day!!

A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?

Answers

f(x)= 11,856(1-.1)^8
11,856(.43)
F(x)=5,098.08 or 5,098.1 when rounded to the nearest tenth

What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work

Answers

Answer:

The answer is B) John earns $14.00 for two hours of work.

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?

Answers

Answer:

The mass of the object will be "25 kg".

Step-by-step explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒ [tex]F = ma[/tex]

       [tex]=15\times 5[/tex]

       [tex]=75 \ N[/tex]

When, acceleration (a) = 3 m/s²

⇒ [tex]F = ma[/tex]

or,

⇒ [tex]m=\frac{F}{a}[/tex]

        [tex]=\frac{75}{3}[/tex]

        [tex]=25 \ kg[/tex]

circumference of a circle

Answers

Answer:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the straight sides are just 4.5 *2 = 9 cm

the arcs are  2[tex]\pi[/tex]r * Ф/360

where Ф= 50 for this problem

and r = 8

the inner arc is  2[tex]\pi[/tex](3.5) *50/360 = 3.05432

the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131

total is 19.0356

to 3 sig figs is 19.036  :)

Bab needs help please!

Answers

Answer:

282.6 in³

Step-by-step explanation:

Volume = area circle * height

Area circle = πr²

Area circle = 3.14 * 9 = 28.26

28.26 * 10 = 282.6 in³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

282.6 in^3
Step by step explanation:
Because I said so


What is the least common denominator of the equation 3/4(x-3)-1/2=2/3

Answers

Answer:

3(x-3)/4-1/2=2/3  

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

Step-by-step explanation:

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

a circle has a diameter of 4.5 inches what is the circumference​

Answers

Answer:

c = 4.5π inches   exact answer

c = 14.13 inches   decimal approximation

Step-by-step explanation:

c = πd

c = 4.5π    exact answer

using 3.14 for π

c = 3.14 * 4.5

c = 14.13    decimal approximation

how do i solve this x^2 −12x+36=0

Answers

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?

Answers

Answer:

36

Step-by-step explanation:

6 x 6

What is the measure of EFG?
A. 88°
B. 176°
C. 184
D. 272°

Answers

Cghfhgsfg sth. Dyjv

PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?

Answers

pretty sure it’s 27 :)

Answer: The 32 electricians are expected to finish the job in 27 days.

Step-by-step explanation:

A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway

Answers

Answer:

The width of the pathway is 5.2 feet

Step-by-step explanation:

Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.

Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A

= L( W + t)

Given that the combined area of the garden and the border 311 square feet while the garden is  14 feet by 17 feet

311 = 14 (17 + t)

311 = 238 + 14t

collect like terms

14t = 311 - 238

14t = 73

t = 73/14

= 5.2 feet

If 6 −8p = 38, then p=

Answers

Hey there!

6 - 8p = 38

SIMPLIFY EACH SIDES of the EQUATION

-8p + 6 = 38

SUBTRACT 6 to BOTH SIDES

-8p + 6 - 6 = 38 - 8

KEEP: 6 - 6 because that gives you 0

KEEP: 38 - 6 because that helps you solve for your p-value

38 - 6 = 32

NEW EQUATION: -8p = 32

DIVIDE -8 to BOTH SIDES

-8p/-8 = 32/-8

CANCEL out: -8/-8 because that gives you 1

KEEP: 32/-8 because it helps solve for the p-value

NEW and TEMPORARY EQUATION:

p = 32/-8

-4 = 32/-8

32/-2 = -4

Therefore you answer is: p = -4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

first answer gets most brainley

Answers

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Find the value of F

Answers

Answer:

f = 13[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

HELPPPPP

a) -3 x 4 - (-9) ÷3


b) 15 - 2(-8 +-7)​

Answers

a) -9
b)45

Hope this helps

Alexis and Mariana are hiking. Alexis climbs to the
top of a ridge 417 feet above sea level. Mariana goes to
the bottom of a valley, 30 feet below sea level. What is
the vertical distance between Alexis and Mariana?

Answers

Answer:

447 ft

Step-by-step explanation:

Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447

2 points

4] The spinner below is cut unevenly. The probability of spinning a 1 or 4

are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the

probability of spinning an odd number if the probability of spinning a 2 is

16%? Type in a numerical value in percent form with the % symbol (no

spaces). For example: 1%*

Answers

Answer:

Probability of spinning an odd number is 84%

Step-by-step explanation:

The probability of spinning a 1 or 4 is equal. Let this probability be X

Probability of spinning a 2 is 1/16

Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%

Sum of spinning 1,2,3 and 4 is equal to 100%

X + 16% + X + 8% = 100

2X = 100 - 16-8

X = 76%

Probability of spinning an odd number i.e one and 3 is

76% + 8% = 84%

PLEASE HELP ME!!!

Jennifer's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1.20 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $5.50. Last April Jennifer's Custom Kitchen Supplies spent $27.60 on materials for forks and spoons. They sold the finished products for a total of $98. How many forks and how many spoons did they make last April?

Answers

Answer:

8 spoons and 9 forks

Step-by-step explanation:

2 F + 1.2S = 27.60

6 F + 5.5S = 98

solve system of equations


f for forks and s for spoons


2f+1.2s=27.60
-1.2s -1.2s
____________

2f = 27.60-1.2s
____________ = f=13.8-.06s
2

substitute 13.8-0.6s for f

6(13.8-0.6s)+5.5s=98

82.8-3.6s+5.5s=98

82.8+1.9s=98
-82.8 -82.8
_____________

1.9s = 15.2
___________ = s=8
1.9
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