11. A telephone pole is supported by an 18-m guy wire that makes an angle of 50° with the horizontal ground. A 14-m guy wire is to be fastened on the other side of the pole for reinforcement. Both wires attach to the pole at its top. Round your answers to the nearest unit, if necessary. a) What angle should the second wire make with the ground? b) How tall is the pole? c) How far is the base of each wire from the base of the pole?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 35E
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11. A telephone pole is supported by an 18-m
guy wire that makes an angle of 50° with
the horizontal ground. A 14-m guy wire is
to be fastened on the other side of the
pole for reinforcement. Both wires attach
to the pole at its top. Round your answers
to the nearest unit, if necessary.
a) What angle should the second wire
make with the ground?
b) How tall is the pole?
c) How far is the base of each wire from
the base of the pole?
d) Could you solve this problem without
using the sine law? Explain.
Transcribed Image Text:11. A telephone pole is supported by an 18-m guy wire that makes an angle of 50° with the horizontal ground. A 14-m guy wire is to be fastened on the other side of the pole for reinforcement. Both wires attach to the pole at its top. Round your answers to the nearest unit, if necessary. a) What angle should the second wire make with the ground? b) How tall is the pole? c) How far is the base of each wire from the base of the pole? d) Could you solve this problem without using the sine law? Explain.
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