The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

Question

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.​

Guest116 · Answer

ANGLE OF DEPRESSION===========================================[tex]\large \sf \underline{Problem:}[/tex]The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy. ===========================================[tex] \large \sf \underline{Answer:}[/tex][tex]\qquad \qquad\qquad\qquad \huge m 24°[/tex]===========================================[tex] \large \sf \underline{Solution:}[/tex][tex]\large 	t{ tan \: x \: = \: \frac{opposite}{adjacent} }[/tex][tex]\large 	t{tan \: x \: = \: \frac{4}{9}}[/tex] [tex]\large 	t{ \: \: \: \: \: \: \: \: x \: = \: tan ^{ - 1} \: (0.444)}[/tex][tex]\large 	t {\: \: \: \: \: \: \: \: x \: = \: 23.96 ° }[/tex][tex]\:\:\:\:\:\:\:\: \large \boxed{	t{ed{ x \: = \: 24° }}}[/tex]Therefore the angle of depression from the lifeguard to the boy is 24°.===========================================#CarryOnLearning

J-Net USA

The Lifeguard Of The Beach Resort Is On His Post Which Is 4 M High. A Boy…

ANGLE OF DEPRESSION

ANGLE OF DEPRESSION

Related Articles