Question

Use trigonometric ratios to determine the length of x in the right triangle below.71°5 cmRound your answer to the nearest tenth, and do not include "x ="or the units in your answer. Just enter the numericalvalue

Answer 1

For the given right triangle, one angle is 71 degree, and perpendicular side for angle 71 degree is x and base side is 5 cm.

Determine the measure of side x by using trigonometric ratio.

$\begin{gathered} \tan 71=\frac{x}{5} \\ x=5\cdot\tan 71 \\ =14.5210 \\ \approx14.5 \end{gathered}$

So value of x is 14.5 cm

Answer: 14.5