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angle of elevation

from a 75ft observation tower a controller sights a hot air ballon at an angle of elevation of 20 degree. if horizontal distance from the tower is 300 feet . what is the elevation of the ballon?

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1 Answer

It will be easier to visualize once you draw a figure. 

If h is the elevation  of the baloon, then,  (h-75)/(300)= Tan 200

Therefore, h-75= 300 tan 200

So,  h= 75 + 300 x tan200