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If the angle of depression of an object from a 75 m high tower

Question

If the angle of depression of an object from a $75 m$ high tower is $3 0^{o}$ , then the distance of the object from the tower is

253 m

503 m

753 m

150 m

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Oliver Discussed

If the angle of depression of an object from a

75 m

high tower is

3 0^{o}

, then the distance of the object from the tower is

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Considering the

Δ A OB

Angle of depression =

∠ A OB

(Alternate angles are equal)
Since,

Δ A OB

is a right angled triangle with

∠ B = 9 0^{o}

tan 3 0^{o} = \frac{A B}{OB}

∴ \frac{1}{3} = \frac{75}{OB}

∴ OB = 753 m

Hence, option C.

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Question Text	If the angle of depression of an object from a $75 m$ high tower is $3 0^{o}$ , then the distance of the object from the tower is
Answer Type	Text solution:1
Upvotes	150