3
QuizMultiple Choice

Solving for Angle Measures of Right Triangles — Quiz

Question 3 • Integrated Math II CR SUSD (EX)

The length of the hypotenuse, line segment GH , in triangle GJH measures 6 cm. Line segment JH measures 2 cm. Which is the approximate measure of angle JGH ?

Answer
A
18.4 degrees
B
19.5 degrees
C
70.5 degrees
D
71.6 degrees

Explanation

Since GH is the hypotenuse and JH is opposite angle JGH, use sine: sin(angle JGH) = JH/GH = 2/6 = 1/3. Taking the inverse sine gives angle JGH ≈ 19.5 degrees, so the correct choice is 19.5 degrees.

AI-written and checked against the verified answer.

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