Question

solve for ( x ). round to the nearest tenth, if necessary.

answer attempt 1 out of 5
( x = ) submit answer

Explanation:

Step1: Identify adjacent side, hypotenuse

Angle $U=50^\circ$, hypotenuse $WU=6.1$, adjacent side $VU=x$.

Step2: Use cosine definition

$\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$
$\cos(50^\circ)=\frac{x}{6.1}$

Step3: Solve for x

$x=6.1\times\cos(50^\circ)$
Calculate $\cos(50^\circ)\approx0.6428$, so $x\approx6.1\times0.6428\approx3.921$

Step4: Round to nearest tenth

$x\approx3.9$

Answer:

$3.9$