Question

At a certain distance from a pole, the angle of elevation to the top of the pole is 28 degrees. if the pole is 6.3 feet tall, what is the distance from the pole

Answer 1

11.8 feet

Explanation:

The given situation is represented in the figure attached below. Note that a Right Angled Triangle is being formed.

We have an angle which measures 28 degrees, a side opposite to the angle which measure 6.3 feet and we need to calculate the side adjacent to the angle. Tan ratio establishes the relation between opposite and adjacent by following formula:

`tan(\theta)=(Opposite)/(Adjacent)`

Using the given values, we get:

`tan(28)=(6.3)/(x)\\\\ x=(6.3)/(28)\\\\x=11.8`

Thus, the distance from the pole is 11.8 feet