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A and B are two stations due north and south of a tower of hei

Question

$A$ and $B$ are two stations due north and south of a tower of height $25 m$ . The angles of depression of the stations from the top of the towe $r$ observed to be $3 0^{0}$ and $4 5^{0}$ respectively. The distance between the two stations is

25 (3 + 1)

25 (3 - 1) m

253 m

25 (2 + 3) m

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Harper Discussed

A

and

B

are two stations due north and south of a tower of height

25 m

. The angles of depression of the stations from the top of the towe

r

observed to be

3 0^{0}

and

4 5^{0}

respectively. The distance between the two stations is

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Text solutionVerified

tan 45^{0} = \frac{25}{d _{2}}

d_{2} = 25

tan 30^{0} = \frac{25}{d _{1}}

d_{1} = 253

d_{1} + d_{2} = 25 (3 + 1) m .

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Question Text	$A$ and $B$ are two stations due north and south of a tower of height $25 m$ . The angles of depression of the stations from the top of the towe $r$ observed to be $3 0^{0}$ and $4 5^{0}$ respectively. The distance between the two stations is
Answer Type	Text solution:1
Upvotes	150