SOLUTION: A telephone pole 30ft. high is to be guyed from its middle section with a guy wire making an angle of 45 degrees with the ground. Find the total length of the guy if an additional

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Question 1150485: A telephone pole 30ft. high is to be guyed from its middle section with a guy wire making an angle of 45 degrees with the ground. Find the total length of the guy if an additional three feet is to be provided for splicing. Solve by using trigonometric functions and draw the figure.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A telephone pole 30ft. high is to be guyed from its middle section with a guy wire making an angle of 45 degrees with the ground.
Find the total length of the guy if an additional three feet is to be provided for splicing.
Solve by using trigonometric functions and draw the figure.
:
The guy wire will be the hypotenuse (c), of the right triangle formed by the ground and half the height of the pole (15')
sin(45) = 15%2Fc
c = 15%2Fsin%2845%29
using a calc
c = 21.213 ft
add the 3' for splicing: 24.213' or about 24' 2.5"
:
I'm sure you can draw this out yourself