From a point on the ground, the angles of elevation of the bottom and top of a water tank kept on the top of the $30$ m high building are $3 0^{\circ}$ and $4 5^{\circ}$ respectively. Find the height of the water tank.

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From a point on the ground, the angles of elevation of the bottom and top of a water tank kept on the top of the

30

m high building are

3 0^{\circ}

and

4 5^{\circ}

respectively. Find the height of the water tank.

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Text solutionVerified

$t an 4 5^{0} = (\frac{h + 30}{b}) or b = h + 30 n o w t an 3 0^{0} = (\frac{30}{b}) or (\frac{1}{3}) = (\frac{30}{h + 30}) or h + 30 = 303 or h = 303 - 30 = 30 (3 - 1) = 21.96 m$

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Question Text	From a point on the ground, the angles of elevation of the bottom and top of a water tank kept on the top of the $30$ m high building are $3 0^{\circ}$ and $4 5^{\circ}$ respectively. Find the height of the water tank.
Answer Type	Text solution:1
Upvotes	153

From a point on the ground, the angles of elevation of the bottom and top of a water tank kept on the top of the 30 m high building are 30∘ and 45∘ respectively. Find the height of the water tank.

Text solutionVerified

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From a point on the ground, the angles of elevation of the bottom and top of a water tank kept on the top of the $30$ m high building are $3 0^{\circ}$ and $4 5^{\circ}$ respectively. Find the height of the water tank.