A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST

A 16ft Ladder Leans Against The Side Of A House. The Bottom Of The Ladder Is 15 Ft Away From The Side

Answers

Answer 1

Answer:

x ≈ 69.6°

Step-by-step explanation:

The angle of elevation is the measure of angle x

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°

The angle of elevation is 69.6° ( to the nearest tenth )


Related Questions

Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.

Answers

The pythagorean theorem states that a^2 = b^2 + c^2, where a is the side that opposes the right angle.

In this case, you have a and b, so you need c.

That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.

Answer: 10 in.

Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2}  = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.

The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, how many cars did they wash on Sunday?

Answers

Answer:

If I did my math correctly, They washed 15 cars on Sunday.

Step-by-step explanation:

50 cars = 100%

Therefore 1 car would be 2% because 50 is half of 100.

So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday

With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday

Here is some extra data:

10% = 5 cars

20% = 10 cars

30% = 15 cars

40% = 20 cars

50% = 25 cars

60% = 30 cars

70% = 35 cars

80% = 40 cars

90% = 45 cars

100% = 50%

Basically, every 10% is +5 cars

What is the volume of the following rectangular prism?

Answers

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

What is prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

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Convert y + 2 = 3/2(x – 4)
to general form.

Answers

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

Find the nth term of 9, 12, 13, 18​

Answers

Answer:

3

Step-by-step explanation:

in this pattern, you can see that it constantly increases by 3. knowing that, we can plug in 3 I. your equation to figure out any term you would like!

PLEASE HELP According to the stem-and-leaf plot above, how many students scored a
grade lower than 80?

Answers

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

what is the tan B in the given triangle​

Answers

Answer:

tan 4/3

Step-by-step explanation: also bts sucks

Answer:

4/3

Step-by-step explanation:

tan B = opp/adj

tan B = 4/3

what does Δy and Δx stand for

Answers

Δy just means triangle y and Δx means triangle x.

I need this answer quickly

Answers

X = 23 is the answer

9=5-x÷2

x=23

23-5=18÷2=9

A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car

Answers

Answer:

50km/h

Step-by-step explanation:

Given data

A-B

Time taken= 3 hours

Distance= 150km

B-A

Time taken= 5 hours

We know that

Speed= distance/time

Speed= 150/3

Speed= 50km/h

Hence the speed of the car is 50km/h

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3

Answers

Answer:

[tex]2034.72\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.

What we're given:

[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]

Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?

Answers

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

the expression (x^2-1)^-2/3 is equivalent to

Answers

Answer:it’s x

Step-by-step explanation:

Sry if I’m wrong

A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?

Answers

Answer:[tex]18+1.5c[/tex]

Step-by-step explanation:

Given

A large cheese pizza costs $18

Each topping add on costs $1.50

for c toppings added, the prize becomes

[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]

3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB

Answers

Answer:

AC + CB < AB

Answer:

AC + CB < AB

Step-by-step explanation:

Find the value of p when 3P = 1/9​

Answers

Answer:

p=1/27

Step-by-step explanation:

3p=1/9

when 9 goes to the left land side divide changes into multiplication so 3p and 9 gets multiplied

3p*9=1

27p=1

when 27 goes the right hand side multiplication changes to division .So

p=1/27

The value of P is 1/27 for equation 3P = 1/9​

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Equation is  3P = 1/9​

Three times of P equal to one by nine

We need to find the value of P

3P = 1/9​

Divide both sides by nine

3P/3=1/9×1/3

P=1/27

Hence, the value of P is 1/27.

To learn more on Equation:

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[tex] {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} [/tex]
Pls include steps...​

Answers

Step-by-step explanation:

everything can be found in the picture

) yx2x1 how do you write it in simplest form​

Answers

Answer:

Y x 2

Step-by-step explanation:

2 x 1 simplified is 2 so 1 will be eliminated

answer?? please answerr

Answers

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

(0, -4)(2, 6) (-2, -14)

function A y-int: (0, -86)

function B y-int: (0, -4)

What rav3ntails said

Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle

Answers

The answer is scalene

Find the sum of the measures of the exterior angles of a 52-gon.


9360°


9000°


360°


520°

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

At Safeway, a pound of apples cost $1.32. Mrs. Terry purchased 7.5 pounds of apples. How much money did
Mrs. Terry spend on apples?

Answers

Answer:

the answer is $1.32×7.5=$9.9

Answer:

£9.90

Step-by-step explanation:

There are 2 ways you can do this. Both are similar.

For the first method it's much quicker but you might need a calculator.

You would simply do 7.5 × 1.32 = £9.90 that should give you the answer.

If you were to do it with out a calculator then what you need to do is 7 × 1.32 = 9.24

Because there is still 0.5 (or 1/2) left from the 7 that you multiplied, you do 1.32 ÷ 2 = 0.66.

Add the 2 numbers together

0.66 + 9.24 = £9.90

Solve the given portion 10/a= 15/24 x=?

Answers

Answer:

[tex]a = 16.[/tex]

Step-by-step explanation:

[tex] \frac{10}{a} = \frac{15}{24} [/tex]

Then

[tex]15 \times a = 24 \times 10[/tex]

So

[tex]a = 240 \div 15[/tex]

Therefore

[tex]a = 16.[/tex]

round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it ​

Answers

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

Learn more about Rounding off here:

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Two events X and y, are independent of eachother. P(Y)=5/6 and P(X and Y)=1/3. What is P(X) written as a decimal. Round to the nearest tenth, if necessary

Answers

Answer:

0.2

Step-by-step explanation:

0.2=2/6=1/3=P(x)

.........

Write the equation of this line in point-slope form and slope-
intercept form.
Slope = -1 through point (-3,5)

Answers

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

what is 94.2 and 87 averaged out

Answers

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

The answer is 90.6 . You take the sum of the numbers and divide by two .

A metal washer has an outer diameter of 14mm and an inner diameter of 6mm.Use the value of 3.14 for the to find the area of the metal washer

Answers

Answer:

502.4 mm^2

Step-by-step explanation:

First find the area of the larger circle, and then that of the smaller one.

Then subtract the latter (2nd) area from the first.

larger circle area           smaller circle area

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

 3.14(14 mm)^2                   3.14(6 mm)^ 2

This comes out to 3.14[14^2 - 6^2] mm^ 2 =  3.14[196 - 36] mm^2, or

3.14(160 mm^2) = 502.4 mm^2

The area of the metal washer is 502.4 mm^2.

Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?

Answers

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

Write the following number in standard decimal form
seven and fifty-two thousandths

Please help

Answers

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

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