Question

What is the angle θ in the triangle below? (Hint: Use an inverse trigonometric function.)

Answer 1

Answer

The correct answer is B

Explanation

The side length opposite to the angle $\theta$ has length $3$ units.

The length of the hypotenuse is $8$ units.

We use the trigonometric ratio that involves the length of the opposite side and the hypotenuse, which is

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

$\sin\theta=\frac{3}{8}$

This is the same as,

$\sin\theta=0.375$

We take the sine inverse to obtain,

$\theta=\sin^{-1}(0.375)$

This evaluates to

$\theta=22.024$

Therefore the value of the angle $\theta$ is $22.0\degree$ to the nearest tenth