Question

Height of the lighthouse =

Question 12
The angle of elevation from Mindy to a cell phone tower is 75 degrees. If Mindy is standing 28 feet from the base of the tower, find the height of the cell phone tower. Round your answer to the nearest tenth. (one decimal place)

Answer 1

To find the height of the cell phone tower, we can use the tangent function: tan(angle of elevation) = height of tower / distance from base

In this case, the angle of elevation is 75 degrees, and the distance from the base is 28 feet.

So, tan(75) = height of tower / 28

Solving for the height of the tower, we get:

height of tower = tan(75) * 28

Using a calculator, tan(75) is approximately 3.73

So, the height of the cell phone tower is 3.73 * 28 = 104.44 feet.

Rounding to the nearest tenth, the height of the cell phone tower is 104.4 feet.