Question

A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answer 1

Answer:

x= 60.1 degrees

Step-by-step explanation:

The triangle forms a right angle triangle

Opposite side of angle x = 13 ft

Hypotenuse of the triangle = 15

We know the opposite side and the hypotenuse

So we use trigonometric formula sin(x)

$sin(x) = \frac{opposite}{hypotenuse}$

$sin(x) = \frac{13}{15}$

When we move 'sin' to the other side it becomes 'sin^-1'

$x=sin^{-1}(\frac{13}{15})$

x = 60.073565