To solve this proble you must apply the proccedure shown below:
1. You have that:
- David is standing 5000 feet away from the base of a cell phone tower. and the angel of elevation from his eyes to the top of the tower is 78 degrees.
- David’s eyes are 6 feet.
2. Therefore, you have:
Tanα=opposite/adjacent
Tanα=x/5000
x=(5000)(Tan(78°))
x=23,523.15 feet
3. Then, you have that the height of the tower is:
h=6 feet+23,523.15 feet
h=23,529.15 feet
The answer is:23,529.15 feet