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Two men on either side of a 75 m high building and in line wit

Question

Two men on either side of a 75 m high building and in line with base of the building, observe the angles of elevation of the top of the building as $3 0^{0}$ and $6 0^{0}$ respectively. Find the distance between the two men. $(u se 3 = 1.73)$

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Two men on either side of a 75 m high building and in line with base of the building, observe the angles of elevation of the top of the building as

3 0^{0}

and

6 0^{0}

respectively. Find the distance between the two men.

(u se 3 = 1.73)

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Text solutionVerified

△ A B D

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

\frac{1}{3} = \frac{75}{A D}

A D = 753 m

△ BC D

tan 6 0^{o} = \frac{B D}{C D}

3 = \frac{75}{C D}

C D = \frac{75}{3} m

A C = A D + C D = (75 + \frac{75}{3}) m

= \frac{75 ( 4 )}{3} = \frac{300}{1.73} = 173.41 m

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Question Text	Two men on either side of a 75 m high building and in line with base of the building, observe the angles of elevation of the top of the building as $3 0^{0}$ and $6 0^{0}$ respectively. Find the distance between the two men. $(u se 3 = 1.73)$
Answer Type	Text solution:1
Upvotes	150