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The angle of elevation of the top of a tower from a point on t

Question

The angle of elevation of the top of a tower from a point on the ground $30$ m away fro the foot of the tower is 30 $^{o}$ . The height of the tower is _____.

30

10

3

10

10

2

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The angle of elevation of the top of a tower from a point on the ground

30

m away fro the foot of the tower is 30

^{o}

. The height of the tower is _____.

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

AB = height of tower

= h, θ = 3 0^{o}, O A = 30

∴

\frac{A B}{O A}

= tan

θ

\Rightarrow

\frac{1}{3} = \frac{h}{30}

\Rightarrow

h = 10

3

∴

Height of the tower is 10

3

So, option B is correct.

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Question Text	The angle of elevation of the top of a tower from a point on the ground $30$ m away fro the foot of the tower is 30 $^{o}$ . The height of the tower is _____.
Answer Type	Text solution:1
Upvotes	150