Mathematics High School

A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?

A 26 Foot Ladder Is Set Against The Side Of A House So That It Reaches Up 24 Feet. If Milagrabs The Ladder

Answers

Answer 1

Answer:

13.9

Step-by-step explanation:

Answer 2

13.85 feet far up the side of the house will the ladder reach now.

Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.

What is heights and distances in trigonometry?

In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.

Let the distance between base of house to foot of the ladder be x.

Using Pythagoras theorem 26²=24²+x²

⇒ 676 = 576 + x²

⇒ x² = 100

⇒ x =10 feet

Mila grabs the ladder at its base and pulls it 12 feet farther from the house.

Now, the distance between base of house to foot of the ladder = x+12

= 10+12 = 22 feet.

So, up the side of the house the ladder reach = 24-h

Then, 26² = (24-h)²+22²

⇒ 676 = (24-h)²+484

⇒ (24-h)² = 192

⇒ (24-h) = √192

⇒ (24-h) = 13.85

⇒ h = 24-13.85

⇒ h = 10.15 feet

Therefore, 13.85 feet far up the side of the house will the ladder reach now.

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Related Questions

please help with area and perimeter. please don't give downloaded answer because my computer has issues with winzip

Answers

Answer:

p = 72m

a = 228m^2

Step-by-step explanation:

p = 20 + 12 + 12 + 8 + 6 + 6 + 8 = 72

a = (20 x 12) - ( (6 x 4) / 2) = 240 - (24 / 2) = 240 - 12 = 228

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

I need help to identify them like for example SAS,SSS,ASA etc.​

Answers

Answer:

AASRHSASA

Step-by-step explanation:

AAS means 2 angles and a non-included side are congruent.RHS means the hypotenuse and the sides of the right-angled triangle are congruent (only applies to right-angled triangles).ASA means 2 angles and that one side between them are congruent.

help me look at picture

Answers

Answer:

113.04

Step-by-step explanation:

Our formula for this circle is 3.14x6^2(6x6) and our formula is 3.14xr^2 so it equals 113.04

Need help plz will give Brainlyest

Answers

Answer: -19r + 31.7s i think

Step-by-step explanation:

Newa
1 pts
Question 8
Which of the following is NOT true about the law-making process in Congress?
O Congress can overrule the president's veto with a 3/4 vote
The House of Representatives and Senate pass the bill along with a majority vote.
A committee discusses debates and votes on a bill
The President can sign the bill into law or veto the bill
Question 9
1 pts

Answers

Answer: They all look correct to me. The only on the might work is the House of Representatives and Senate pass the bill along with a majority vote.

Step-by-step explanation:

It’s a graph please help

Answers

Answer:

(2;6)

Step-by-step explanation:

it will be in first quarter

Some people use SOH - CAH - TOA to remember the trigonometric ratios for sine, cosine, and tangent. Why do you think that word might help?

Answers

Answer:

hope this is helpful

Step-by-step explanation:

SOH-CAH-TOA is really helpful in remembering what each of the ratios should look like.

For sine, SOH means --> Sine- Opposite- Hypotenuse

This helps to remember that when using sine, you should use the Opposite length over the Hypotenuse in your ratio.

For cosine, CAH means --> Cosine- Adjacent- Hypotenuse

Your ratio should have the Adjacent length over the Hypotenuse

For tan, TOA means --> Tangent- Opposite- Adjacent

Your ratio should have the Opposite length over the Adjacent length  

please help me OMggggG

I need answers rnn before Tuesday ​

Answers

All angles make up 540°.

Use an algebra expression to clarify this.

9x+7x+15+5x-25+6x+25+6x-3=540

Add like terms.

33x+12=540

33x=528

x=16

Can somebody help me??

Answers

Your answer would be 10 please trust me!! I’ve done that before ):

I’m sorry if I’m asking for too much but this whole page is very confusing And I don’t remember learning this in fifth grade help my brother pass lmk if anything is unclear in the photo

Answers

Answer:

1.)  71 > 38    ║d.) >

2.)  21 < 62   ║g.) <

3.)  58 = 58  ║f.) =

4.)  14 ≤ 6     ║a.) False

5.)  13 ≤ 26   ║h.) True

6.)  25 < y    ║c.) 16

7.)  N = 6      ║e.) 6

8.)  P ≥ 16     ║b.) 50

Plz help! Sam had an appointment 90 miles away from home at 2pm. He drove there at 60 mph, and was 15 minutes late. What time did Sam start driving at?

Example: 1:50

Answers

Answer:

12:45 pm

Step-by-step explanation:

First we find out the amount of time it takes to drive 90 miles at 60 mph.

speed = distance/time

time * speed = distance

time = distance/speed

time = 90 miles / 60 mph

time = 1.5 hour = 90 minutes

It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.

To get there at 2:00 pm, he should have left at 12:30 pm.

He got there 15 minutes late, so he must have left 15 minutes late.

He left at 12:45 pm.

Answer: 12:45 pm

please help!!! will mark brainliest

Answers

Answer:

x = 15

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

m∠H + m∠K = 180°

Substitute the values and solve for x:

5x - 22 + 8x + 7 = 18013x - 15 = 18013x = 195x = 195/13x = 15

Answer:

Solution ::

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

[tex] \\ [/tex]

HELP PLSSs plssssssss helpppp it’s math plsssssss

Answers

Answer:

17°

Step-by-step explanation:

Complementary must add up to 90°

therefore, 90-73

Answer:

solution given:

x+73=90° complementary

x=90-73

x=17°

x=17°

write the equation for an exponential function, in the form y=axb

Answers

f(x) = 3x

Hope this helps

In a bag, there are 6 blue, 1 purple, 3 yellow, and 5 orange marbles. If a single choice is made from the
bag, find the probability of choosing a yellow marble

Answers

Answer:

it would be a 3/15 or 1/5 chance

Step-by-step explanation:

Answer:

Its 3/15 which is 1/5. The percentages are 20%.

Step-by-step explanation:6+1+3+5=15

yellow marbles:3/15

Simplified version:1/5.

And the percentages is 20%

Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

8 hours for the possible numbers of house

BRAINIEST ANSWER
FIND THE VOLUME AND ROUND TO THE NEAREST TENTH :)))
Please help

Answers

Answer: 3,150 ft.

Step-by-step explanation: multiply all sides together

The stock price of a company was $25. The stock price fell to $20. Which is the closest to the percent decrease in this stock price?

Answers

Answer:

20%

Step-by-step explanation:

25-20=5

25/5=5

100/5=20

5. photo album: $25.50, 10% markup

Answers

Answer:

$28.05

Step-by-step explanation:

If you want to find how much the photo album is after the markup, you first have to find 10% of the original price. 10% of $25.50 is $2.55, so you add $2.55 and $25.50 to find the price after the markup.

Hope this helps!

.b) In a exam, Biraj got 350 marks and failed by 20 marks lf the percentageof pass marks is 40%, what is the full marks​

Answers

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

What is the answer? Help

Answers

Answer:

2, because it does not have a variable!

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

The answer is 3, I hope this helps!

La temperatura mínima en una ciudad el día lunes fue de –2 ºC y la máxima fue de 7 ºC. ¿Cuál fue la variación de temperatura en el día?

Answers

Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

Question 2
5 pts
1. It was 8 degrees at nightfall. The temperature dropped 10 degrees by
midnight. What was the temperature at midnight?
[Select]
2. A diver is 25 feet below sea level. After he swims up 15 feet toward the
surface, what is his elevation?
[ Select ]

Answers

Answer:

1. -2 degrees

2. 10 feet below sea level

Step-by-step explanation:

1 through 5 please help!

Answers

Answer:

hope this helps.look it once.

p(u) =u³+3u²-12u+4 and g(u)=u-2


divide and find quotient and remainder​

Answers

Answer: U^2+5u-2


Explanation

The quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

What are polynomials?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given is a polynomial p(u) =u³+3u²-12u+4  which is to be divided by g(u)=u-2

When we divide the polynomial, we get,

Quotient = u²+5u-2

And for this remainder will be zero

Hence, the quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

Learn more about polynomials, click;

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1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is his approximate reaction distance

Answers

Answer: [tex]14.07\ m[/tex]

Step-by-step explanation:

Given

Max is driving at a speed of [tex]42\ mph[/tex]

It took him three-quarters of a second i.e. [tex]0.75\ s[/tex]

Speed in meter per second is [tex]18.77\ m/s[/tex]

Distance is given by

[tex]d=v\times t[/tex]

Reaction distance is

[tex]d=18.77\times 0.75=14.07\ m[/tex]

Eva signs up for dance classes. She pays a one-time registration fee and then the same monthly tuition. Eva pays $110 the first month and at the end of 9 months has paid $670 in all. Which equation can be used to model the tuition and registration fees?
А. y - 110 = 70(x - 1)
B. y - 70 = 110(x - 1)
C. y - 670 = 70(x - 1)
D. y - 9 = 70(x - 670)

Answers

Answer:

А. y - 110 = 70 (x - 1)

Step-by-step explanation:

А. y - 110 = 70 (x - 1)

The answer is A hope this helps

what is the value of X in the diagram below

Answers

Answer:

18

Step-by-step explanation:

We will try to find the angle on the left side of the small triangle. So we have to use Tan.

SOHCAHTOA

TanФ = 12/8

[tex]Tan^{-1}[/tex] = 12/8   = 56.31°

So the other one is 33.69°  It's the top left one of the smaller triangle.

The top right side of the bigger triangle is 56.31 because they both add up to make 90°

Now that we have an angle of the bigger triangle we will find the x.

Tan 56.31 = x/12

x = 18

Theres probably a easier way but i dunno

             

Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?

Answers

Answer:

4 1/2 hours

Step-by-step explanation:

1 practice = 2 1/4 hours

2 practices = 4 1/2 hours

Answer: hewo, there! your answer is below

4 2/4  Hours would be my answer

Step-by-step explanation:

Bryson has soccer practice for 2 \frac{1}{4} hours 2 times a week. Bryson spend 4 \frac{2}{4} hours at soccer practice in 1 week

Hope this helps you!

Have a greay day!!

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