A wire achoring a telephone pole to the ground is 175 feet long. the angle of elevation from the ground to the top pole is 50 degrees. how tall is the telephone pole ?
1 Answer
Jun 12, 2018
The pole is approximately 112.5 feet tall
Explanation:
If the guideline is 175ft long and makes a 50-degree angle with the earth, AND we assume the pole makes a 90-degree angle with the earth, we have ourselves a right triangle!
The wire is the hypotenuse of the triangle, and the pole is the side opposite of the angle. Using our knowledge of trig:
We can use that relationship as follows:
where
