SOLUTION: A guy wire is attached to a power pole at a point of 50 feet above the ground. If the wire make a 30 degree angle with the pole, dtermine the amount of guy wire needed from the pol

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Question 113692This question is from textbook
: A guy wire is attached to a power pole at a point of 50 feet above the ground. If the wire make a 30 degree angle with the pole, dtermine the amount of guy wire needed from the pole to the ground. This question is from textbook

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
HERE YOU HAVE A RIGHT TRIANGLE WITH THE LONGER SIDE=50 FEET.
IF THE 30 DEGREE ANGLE IS AT THE TOP OF THE POLE THEN THIS IS A 1-2-SQRT3 RIGHT TRIANGLE.
THE SQRT3 SIDE IS EQUIVILANT TO THE 50 FOOT POLE.
THUS WE HAVE A RELATIONSHIP OF 50/SQRT3=X/2.
NOW CROSS MULTIPLY
SQRT3*X=50*2
1.732X=100
X=100/1.732
X=57.74 FEET IS THE LENGTH OF THE GUY WIRE.