Question

solve for ( x ). round to the nearest tenth, if necessary.
(image of a right triangle ( tyw ) with right angle at ( t ), hypotenuse ( yw = 95 ), angle at ( w = 31^circ ), and ( ty = x ))
answer attempt 1 out of 2
( x = ) input box submit answer

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(W) = \frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute known values

$\sin(31^\circ) = \frac{x}{95}$

Step3: Solve for $x$

$x = 95 \times \sin(31^\circ)$
Calculate $\sin(31^\circ) \approx 0.5150$, so:
$x \approx 95 \times 0.5150$
$x \approx 48.925$

Step4: Round to nearest tenth

$x \approx 48.9$

Answer:

$x = 48.9$