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

B. 42 degrees

Step-by-step 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=(8)/(12) \\ A=\arcsin ((8)/(12)) \\ A=41.8\degree \\ m\angle A\approx42\degree\text{ (to the nearest degree)} \end{gathered}`

The correct choice is B.