Asked by John
A 60 ft. antenna stands on top of a building, From a point on the ground, the angles of elevation to the top and bottom of the antenna measure 58 and 44 respectively. How tall is the building
Answers
Answered by
tchrwill
Triangle ABC, A the point of angle measurement on he ground, B the base of the antenna and C, the top of the antenna. Extend CB to ground level at D.
Angle CAB = 58 - 44 = 14º
Angle ACB = 32º
60/sin14 = AB/sin32
AB = 60sin32/sin14
h = BD = ABsin44º
Angle CAB = 58 - 44 = 14º
Angle ACB = 32º
60/sin14 = AB/sin32
AB = 60sin32/sin14
h = BD = ABsin44º
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