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A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is and that of the top of the flag staff is β. Then the height of the tower is

Q: Answer-A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h...

Apply tan in BCD Tan x K k x tan ---- 1 apply tan in ACD tan x K K h x tan ----- 2 Example like 1 and 2 x tan hx tan xtan tan h xtan xtan xtan h tan xtan tan h tan x h tan2 tan tan

A h tan α

B htanα / (tan β−tanα)

C htanα / (tanα−tan β)

D None of these

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A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is and that of the top of the flag staff is β. Then the height of the tower is

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