QUESTION IMAGE
Question
find tu.
write your answer as an integer or as a decimal rounded to the nearest tenth.
tu =
submit
Step1: Identify trigonometric ratio
We use the tangent function: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta=49^\circ$, opposite side $UV=7$, adjacent side $TU=x$.
Step2: Rearrange to solve for TU
$x = \frac{7}{\tan(49^\circ)}$
Step3: Calculate the value
First, $\tan(49^\circ) \approx 1.1504$, so $x \approx \frac{7}{1.1504} \approx 6.1$
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$6.1$