A communications tower is located at the top of a steep hill, as shown in the figure below. The angle of inclination of the hill is 68°. A guy wire is to be attached to the top of the tower and to the ground, 150 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 11°. Find the length of the cable required for the guy wire to the nearest whole meter.

I know law of sines but I need Help ASAP!

3 answers

the tower should be vertical (90º to the horizontal, and 158º to the side of the hill)

180 - 158 = 22 ... 22 / 2 = 11

so the tower, hillside, and guy wire make a big isosceles triangle

cable length is ... 2 [150 cos(11º)]
thx scott
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