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math question?
From a certain point, the angle of elevation to the top of a building is 21o. At a point 85m closer to the building, the angle of elevation is 40o. Calculate the height of the building.
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- VamanLv 76 months ago
let x be the distance and h be the height.
h/x=tan 21=0.38
At nearer h/(x-85)= tan 40=0.84. Divide by one another. (x-85)/x=0.38/0,84=0.4
(x-85)=0.4x, 0.6x=85, x=141.7m.
h= x*0.38=53,8 m
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