Question

find uw.
u
7.6
v
62°
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uw =

Explanation:

Step1: Identify trigonometric ratio

We use $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$, where $\theta=62^\circ$, opposite side $UV=7.6$, adjacent side is $UW$.

Step2: Rearrange to solve for UW

$$UW = \frac{UV}{\tan(62^\circ)}$$

Step3: Calculate value

$$UW = \frac{7.6}{\tan(62^\circ)} \approx \frac{7.6}{1.8807} \approx 4.0$$

Answer:

$\boldsymbol{4.0}$