Question

The center pole of a tent is 8 feet long, and a side of the tent is 12 feet long as shown in the diagram below. If a right angle is formed where the center pole meets the ground, what is the measure of angle A to the nearest degree?

Answer 1

Answer:

B. 42 degrees

Explanation:

In the right triangle formed:

• The side length ,opposite, angle A = 8 ft

,

• The length of the ,hypotenuse, = 12 ft

Recall from trigonometric ratios:

$\sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}$

Substitute the given values:

$\begin{gathered} \sin A=\frac{8}{12} \\ A=\arcsin (\frac{8}{12}) \\ A=41.8\degree \\ m\angle A\approx42\degree\text{ (to the nearest degree)} \end{gathered}$

The correct choice is B.