Question

solve for x. round to the nearest tenth, if necessary.
answer attempt 3 out of 3
x =
submit answer

Explanation:

Step1: Identify trigonometric ratio

In right triangle ILM, $\sin(M) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{IL}{LM}$

Step2: Substitute known values

$\sin(25^\circ) = \frac{3.1}{x}$

Step3: Solve for x

$x = \frac{3.1}{\sin(25^\circ)} \approx \frac{3.1}{0.4226} \approx 7.3$

Answer:

7.3