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A radio tower is located 400 feet from a building. from a window in the building, a person determines that the angle of elevation to the top of the tower is 41 ∘ 41∘ and that the angle of depression to the bottom of the tower is 33 ∘ 33∘. how tall is the tower?

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Respuesta :

shinmin

The solution is:


The height is computed by:


h(t) = h(1) + h(2) 


h(1): 


tan41 = h(1) / 400ft 


h(1) = 400(0.8693) = 347.72 ft 


h(2): 


tan33 = h(2)/400 ft 


h(2) = 400 (0.6494) = 259.76 ft 

 

So combining the two:


h(t) = 347.72 + 259.76 = 607.48 feet 


The tower is 607.48 feet tall.

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