What is the angle θ in the triangle below? (Hint: Use an inverse trigonometric function.) A. 45.3° B. 22.0° C. 68.0° D. 0.38°

Question

asked Aug 22, 2020 186k views

1 Answer

Lakmal Caldera · Answer 1 · 2020-08-25T11:59:04+0000

Answer

The correct answer is B

Step-by-step explanation

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

The length of the hypotenuse is
units.

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

$\sin\theta=(Opposite)/(Hypotenuse)$

$\sin\theta=(3)/(8)$

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