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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 , which is $30 m$ away from the foot of the tower is $3 0^{o}$ . find the height of the tower.

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

30 m

away from the foot of the tower is

3 0^{o}

. find the height of the tower.

5 mins ago

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Text solutionVerified

Let

A C

be the tower of height

h

and

B

be the point on the ground

30 m

away from the tower.

Consider, the right angled

△ A BC

, in figure.

We have,

cos B = \frac{A d ja ce n t s i d e}{Hy p o t e n u se} = \frac{BC}{A C}

cos 3 0^{\circ} = \frac{30}{h}

\frac{3}{2} = \frac{30}{h}

h = \frac{60}{3}

∴

The height of the tower is

203 m

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Question Text	The angle of elevation of the top of a tower from a point on the ground , which is $30 m$ away from the foot of the tower is $3 0^{o}$ . find the height of the tower.
Answer Type	Text solution:1
Upvotes	150