Question

A 15ft ladder leans against the side of a house. The top of the ladder is

13ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answer 1

check the picture below.

make sure your calculator is in Degree mode.

Answer 2

Angle x = 60.1 degrees

Explanation:

Given : height of the ladder is 15 ft that is the hypotenuse

The top of the ladder is 13ft off the ground.

That is the oppposite side of angle x

Since this forms a right angle triangle we use trigonometric ratios to find x

We know the opposite side and the hypotenuse

sin(x) = opposite / hypotenuse

`sin(x) = (13)/(15)`

`x = sin^(-1)((13)/(15))`

x= 60.073565

Angle x = 60.1 degrees