Question

A water slide is 400 yards long with a vertical drop of 36.3 yards. Find the angle of depression of the slide.

Answer 1

5.2° is correct.

Explanation:

Answer 2

The angle of depression of the slide is
`5.2^o`

Explanation:

Given the length of vertical drop, i.e., the perpendicular is 36.3 yards

Length of water slide is 400 yards

A slide is always slanted, therefore, it will be considered as the hypotenuse

Therefore, hypotenuse = 400 yards

Let the angle of depression be
`\theta`

`\sin \theta=\frac{\text { perpendicular }}{\text { hypotenuse }}`

substituting the values,

`\sin \theta=(36.3)/(400)=0.09075`

`\theta=\sin ^(-1)(0.09075)`

`\theta= 5.2^(\circ)`

Hence, the angle of depression is
`5.2^o`