SOLUTION: a radio tower is supported by two wires on opposite sides. the wires form an angle of 60 degree at the top of the post. On the ground, the ends of the wires are 17m apart, and one
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-> SOLUTION: a radio tower is supported by two wires on opposite sides. the wires form an angle of 60 degree at the top of the post. On the ground, the ends of the wires are 17m apart, and one
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Question 1041707: a radio tower is supported by two wires on opposite sides. the wires form an angle of 60 degree at the top of the post. On the ground, the ends of the wires are 17m apart, and one wire is at 45 degree to the ground. how long will the wires be? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a radio tower is supported by two wires on opposite sides.
the wires form an angle of 60 degree at the top of the post.
On the ground, the ends of the wires are 17m apart, and one wire is at 45 degree to the ground.
how long will the wires be?
:
Find the 3rd angle: 180 - 45 - 60 = 75 degrees
:
Let A = 45 degrees
Let B = 75 degrees
Let C = 60 degrees
:
Wire a is opposite angle A, 75 degrees
Wire b is opposite angle B, 45 degrees
c is opposite 60 degrees, given as 17 meters
:
Draw and label the triangle, it will be easy to understand
Using the law of sines =
find the sines and cross multiply
.866a = 17 * .707
.866a = 12.021
a =
a = 13.88 meters is wire a
and =
find the sines and cross multiply
.866b = 17 * .966
.866b = 16.42
b =
b = 18.96 meters is wire b
