Question

find tv.

triangle with right angle at t, angle at u is 42°, length of ut is 5.6

write your answer as an integer or as a decimal rounded to the nearest tenth.
tv =
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Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$, where $\theta = 42^\circ$, opposite side is $TV$, adjacent side is $UT = 5.6$.

Step2: Rearrange to solve for TV

$TV = UT \times \tan(42^\circ)$

Step3: Calculate the value

$TV = 5.6 \times \tan(42^\circ) \approx 5.6 \times 0.9004 = 5.04224$

Step4: Round to nearest tenth

Round $5.04224$ to 1 decimal place.

Answer:

$5.0$