A radio tower is installed on top of a tall building. A surveyor standing 64 meters from the base of a building measures the angle of elevation from the ground to the top of the building and finds it to be 39°. The surveyor then measures the angle of elevation from the ground to the top of the radio tower that is on top of the building and finds that it is48°. To the nearest tenth of a meter, how tall is the radio tower?

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1 Answer

Height of building is 64tan(39) and height of tower from the ground is 64tan(48).

The actual height of the tower is 64tan(48)-64tan(39)=64(tan(48)-tan(39))=19.3m to nearest 0.1m.

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