Question

a vertical pole 35 feet high, standing on sloping ground, is braced by a wire which extends from the top of the pole to a point on the ground 25 feet from the foot of the pole. If the pole subtends an angle of 30 degree at the point where the wire reaches the ground, how long is the wire?

Answer 1

find the angle between the pole and the wire using the law of sines:

35/sin30 = 25/sinθ

Now use the law of sines again to find x, since you can now figure the angle opposite x.

Answer 2

12.4573