Question

find hj.
write your answer as an integer or as a decimal rounded to the nearest tenth.
hj =
submit

Explanation:

Step1: Identify sides/angle, use cosine

In right $\triangle HIJ$, $\cos(\angle H) = \frac{HJ}{HI}$

Step2: Rearrange to solve for HJ

$HJ = HI \times \cos(61^\circ)$
Substitute values: $HJ = 8 \times \cos(61^\circ)$

Step3: Calculate the value

$\cos(61^\circ) \approx 0.4848$, so $HJ \approx 8 \times 0.4848 = 3.8784$
Round to nearest tenth: $HJ \approx 3.9$

Answer:

3.9