24. The right triangle shown below has a hypotenuse of 4 inches. The measure of the angle indicated is 6°. Which of the following is closest to the length, in inches, of the side opposite the 6° angle?

(Note: sin 6° ≈ 0.1045 sin 84° ≈ 0.9945

cos 6° ≈ 0.9945 cos 84° ≈ 0.1045

tan 6° ≈ 0.1051 tan 84° ≈ 9.5144)

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

The ratio of the side opposite to the hypotenuse of an angle is the sin value of the angle. So the length of the hypotenuse multiplied by the sin of the angle is the length of the opposite side. 4×sin6°≈4×0.1045=0.418. Choose G.