Answer to Question #176910 in Trigonometry for Liam

Question

Peter is flying a kite using a 20 m long strip. His hand and the kite are 1 m and 15 m above the ground, respectively. Find the angle of depression of Peter from the kite.

Answer 1

Length of strip of kite = 20m

Height from his hand to kite = 14m

Let, angle of depression of Peter from the kite = $\alpha$

Using sin $\alpha$ = perpendicular / hypotenuse

here, sin$\alpha = 14/20$

sin$\alpha = 0.7$

$\alpha = \arcsin(0.7)$

$\alpha = 44.4 \degree$

Angle of depression = $44.4 \degree$