Question

A radio tower is supported by heavy wires from the top of the tower to the ground. Each wire makes a 70° angle with the ground, and is anchored to the ground at a point 100 feet from the foot of the tower. What is the height of the tower?

Answer 1

use the tangent function to set up an equation:

tan(70°) = h/100

We can then solve for h by multiplying both sides by 100 and taking the tangent of 70 degrees:

h = 100*tan(70°)

Using a calculator, we get:

h ≈ 315.96 feet

the height of the tower is approximately 315.96 feet.

Hope this helps! :)