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

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.​

ANGLE OF DEPRESSION

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[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.

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[tex] \large \sf \underline{Answer:}[/tex]

[tex]\qquad \qquad\qquad\qquad \huge \rm 24°[/tex]

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[tex] \large \sf \underline{Solution:}[/tex]

[tex]\large \tt{ tan \: x \: = \: \frac{opposite}{adjacent} }[/tex]

[tex]\large \tt{tan \: x \: = \: \frac{4}{9}}[/tex]

[tex]\large \tt{ \: \: \: \: \: \: \: \: x \: = \: tan ^{ – 1} \: (0.444)}[/tex]

[tex]\large \tt {\: \: \: \: \: \: \: \: x \: = \: 23.96 ° }[/tex]

[tex]\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{ x \: = \: 24° }}}[/tex]

Therefore the angle of depression from the lifeguard to the boy is 24°.

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