Question

If a 15 foot ladder reaches 14 feet up a building, what angle does the ladder make with the ground? (to the nearest WHOLE DEGREE)

Answer 1

x = 69°

Explanation:

In the picture attached,

Length of the ladder = 15 ft

This ladder reaches the height of a building = 14 ft

We have to find the measure of angle formed between the base of the ladder and the ground.

By applying Sine rule in the right triangle formed,

sin(x)° =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

sin(x)° =
`(14)/(15)`

x =
`\text{sin}^(-1)((14)/(15))`

x = 68.96°

x ≈ 69°