Question

solve for x. round to the nearest tenth, if necessary.
triangle image with right angle at k, side jk = 36, angle at l is 69 degrees, side jl = x
answer
attempt 1 out of 2
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Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta=69^\circ$, opposite side $=36$, hypotenuse $=x$.

Step2: Rearrange to solve for $x$

$x=\frac{36}{\sin(69^\circ)}$

Step3: Calculate value

First, $\sin(69^\circ)\approx0.9336$, so $x\approx\frac{36}{0.9336}\approx38.6$

Answer:

$x\approx38.6$