Question

find hj.
j
i
√65
29°
h
write your answer as an integer or as a decimal rounded to the nearest tenth.
hj =

Explanation:

Step1: Identify adjacent side

We know $\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}}$, where $\theta = 29^\circ$, hypotenuse $HI=\sqrt{65}$, adjacent side is $HJ$.

Step2: Rearrange for HJ

$HJ = HI\times\cos(29^\circ)$

Step3: Calculate value

First, $\sqrt{65}\approx8.0623$, $\cos(29^\circ)\approx0.8746$. Multiply them: $8.0623\times0.8746\approx7.05$

Answer:

$7.1$ (rounded to nearest tenth)