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The angle of elevation of the top of a vertical tower from a p

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The angle of elevation of the top of a vertical tower from a point on the ground is $60^{o}$ . From another point $10 m$ vertically above the first, its angle of elevation is $45^{o}$ . Find the height of the tower.

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

60^{o}

. From another point

10 m

vertically above the first, its angle of elevation is

45^{o}

. Find the height of the tower.

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Text solutionVerified

R.E.F image

t an 60 = \frac{A B}{B D} = \frac{h}{B D}

h = B D 3

t an 45 = \frac{A E}{EC} =

i . e, A E = EC = B D

A E = h - 10

h - 10 = \frac{h}{3}

h 3 - 103 = h

h (3 - 1) = 103

h = \frac{10 3}{3 - 1} - \frac{3 + 1}{3 + 1} = \frac{3 ( 3 + 1 )}{2} = 53 (3 + 1)

= 15 + 63

h = 23.66

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Question Text	The angle of elevation of the top of a vertical tower from a point on the ground is $60^{o}$ . From another point $10 m$ vertically above the first, its angle of elevation is $45^{o}$ . Find the height of the tower.
Answer Type	Text solution:1
Upvotes	150