Question

find tu.
u
t
√47
32°
s
write your answer as an integer or as a decimal rounded to the nearest tenth.
tu =

Explanation:

Step1: Identify trigonometric ratio

We use the tangent function for $\angle S = 32^\circ$, where $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{TU}{SU}$.

Step2: Substitute known values

$\tan(32^\circ) = \frac{TU}{\sqrt{47}}$
Rearrange to solve for $TU$: $TU = \sqrt{47} \times \tan(32^\circ)$

Step3: Calculate numerical value

First, $\sqrt{47} \approx 6.8557$, $\tan(32^\circ) \approx 0.6249$.
Multiply: $6.8557 \times 0.6249 \approx 4.28$

Answer:

$\boldsymbol{4.3}$