SOLUTION: A vertical pole sits beside a straight but sloping road. A straight cable from the top of the pole reaches the ground 35 feet from the base of the pole on the down side of the slop

Question 70997: A vertical pole sits beside a straight but sloping road. A straight cable from the top of the pole reaches the ground 35 feet from the base of the pole on the down side of the slope. If the cable makes an angle of 20deg with the top of the pole and 50deg with the sloping ground, approxiamte the height of the pole.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A vertical pole sits beside a straight but sloping road. A straight cable from the top of the pole reaches the ground 35 feet from the base of the pole on the down side of the slope. If the cable makes an angle of 20deg with the top of the pole and 50deg with the sloping ground, approxiamte the height of the pole.
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Draw the picture and label the 35 ft side ofthe triangle on the road
Let the height of the pole be "x".
Using the Law of Sines you get:
x/sin50 = 35/sin20
x=(sin50)(35/sin20)
x=78.39 ft.
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Cheers,
Stan H.
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