Two vertical poles of equal height stand on opposite sides of a straight road 120 m wide. From a point on the road between them, the angles of elevation of their tops are 60° and 30°. Taking √3 = 1.732, what is the height of each pole?
Correct answer B. 51.96 m
Explanation
If x is the distance to the 60° pole, h = x√3 = (120 - x)/√3, so 3x = 120 - x and x = 30. h = 30√3 = 51.96 m.
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