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From the top of a cliff of height, a the angle of depression o

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From the top of a cliff of height, a the angle of depression of the foot of a certain tower is found to be double the angle of elevation of the top of the tower of height h. If $θ$ be the angle of elevation then its value is:

cos^{- 1} \frac{2 h}{a}

sin^{- 1} \frac{2 h}{a}

sin^{- 1} \frac{a}{2 - h}

tan^{- 1} 3 - \frac{2 h}{a}

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From the top of a cliff of height, a the angle of depression of the foot of a certain tower is found to be double the angle of elevation of the top of the tower of height h. If

θ

be the angle of elevation then its value is:

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Text solutionVerified

h - a = x tan

θ

a = x tan 2

θ

(h - a)/a =

\frac{t an θ}{t an 2 θ} = \frac{1 - t a n ^{2} θ}{2}

(h/a) - 1 =

\frac{1 - t a n ^{2} θ}{2}

(h/a) - 1 - 1/2 =

\frac{t a n ^{2} θ}{2}

t a n^{2} θ

= 3 - (2h/a)
tan

θ

3 - (2 h / a)

θ

t a n^{- 1} 3 - \frac{2 h}{a}

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Question Text	From the top of a cliff of height, a the angle of depression of the foot of a certain tower is found to be double the angle of elevation of the top of the tower of height h. If $θ$ be the angle of elevation then its value is:
Answer Type	Text solution:1
Upvotes	150

From the top of a cliff of height, a the angle of depression of the foot of a certain tower is found to be double the angle of elevation of the top of the tower of height h. If θ be the angle of elevation then its value is:

Text solutionVerified

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From the top of a cliff of height, a the angle of depression of the foot of a certain tower is found to be double the angle of elevation of the top of the tower of height h. If $θ$ be the angle of elevation then its value is: