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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°

What is the angle θ in the triangle below? (Hint: Use an inverse trigonometric function-example-1

1 Answer

3 votes

Answer

The correct answer is B

Step-by-step 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=(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





User Lakmal Caldera
by
7.4k points
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