Question

If Jonathan is standing on a 15-foot diving board, and his friend Rayla is 48 feet from the spot in the pool underneath the diving board, what is the angle of depression from Eric to Rayla, to the nearest tenth of a degree? *

Answer 1

Angle of depression from Eric to Rayla = 72.63°

Explanation:

See diagram in attachment.

From the diagram in the attachment.

To find the angle of depression (x), we will use Pythagorean theorem to find line a, and use the sine rule to find angle x.

use Pythagorean theorem to find line a

a² = 48² + 15²

a² = 2529

a = √2529

a = 50.29ft

use the sine rule to find angle x.

a/sinA = x/sinx

50.29/sin90 = 48/sinx

50.29/1 = 48/sinx

50.29sinx = 48

sinx = 48/50.29

sinx = 0.9544

x = sin-¹0.9544

x = 72.63°

Angle of depression from Eric to Rayla = 72.63°