SOLUTION: A wire from the top of a telephone pole to a point on the ground 20m from the pole is 40m long.how high is the pole?

Question 479140: A wire from the top of a telephone pole to a point on the ground 20m from the pole is 40m long.how high is the pole?

Found 2 solutions by cleomenius, MathTherapy:
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
First, we realize we are working with a 90 degree triangle, with the angle of the pole and ground 90 degrees.
Next, we set up a sine function,for the top angle, opp / hypotenuse, this comes to .5 for an angle of 30 degrees.
we can know use the cosine function to find the height of the pole cos 30 = adj/40.
This worked out to 34.64 feet. This is our answer.
Cleomenius.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A wire from the top of a telephone pole to a point on the ground 20m from the pole is 40m long.how high is the pole?

Let the height of the pole be H
The base of the right triangle formed is 20m
The wire represents the hypotenuse of the right triangle formed, and is 40m long

We then have:

= 1,200
H, or height = = , to the nearest hundredths.

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