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

Answer:

5.2° is correct.

Step-by-step explanation:

Answer 2

Answer:

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,

 $\sin \theta=\frac{36.3}{400}=0.09075$

$\theta=\sin ^{-1}(0.09075)$

$\theta= 5.2^{\circ}$

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