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प्रश्न
The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If height of the tower is 50 m, find the height of the hill.
बेरीज
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उत्तर
Let AB be the tower and CD be the hill
tan 60∘ = `h/d`
`sqrt3 = h/d => h = sqrt3 d` ...(1)
tan30∘ `= 50/d`
`1/sqrt3 = 50/d => d = 50sqrt3 ...(2)`
`h = sqrt3 (50sqrt3) = 50xx3 = 150`
Height of hill = 150 m
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