Question

find m∠h.
write your answer as an integer or as a decimal rounded to the nearest tenth.
m∠h = °

Explanation:

Step1: Identify triangle type and sides

This is a right triangle \( \triangle HIJ \) with \( \angle J = 90^\circ \), hypotenuse \( HI = 7 \), and adjacent side to \( \angle H \) is \( HJ = 6.1 \). We use cosine function: \( \cos(\angle H) = \frac{\text{adjacent}}{\text{hypotenuse}} \).

Step2: Calculate cosine of \( \angle H \)

\( \cos(\angle H) = \frac{HJ}{HI} = \frac{6.1}{7} \approx 0.8714 \).

Step3: Find \( \angle H \) using arccos

\( \angle H = \arccos(0.8714) \approx 29.4^\circ \) (using calculator for arccos).

Answer:

\( 29.4 \)