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A short-wave radio antenna is supported by two guy wires, 165 ft and 180 ft long. Each wire is attached to the top of the antenna and anchored to the ground at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of with the ground. How far apart are the anchor points?
A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 58 degrees to the horizontal. A guy wire is to be attached to the top of the tower and to the ground, 100 m downhill from the base of the tower. The angle alpha in the figure is determined to be 12 degrees. Find the length of cable required for the guy wire.
The bell tower of the cathedral in Pisa, Italy, leans
from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be
. Find the length of the tower to the nearest meter.
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