Question

A right triangle is shown.7.88xWhich angle measure is closest to the value of x?43.9°44.3°45.7°46.2°

Answer 1

In the right angle triangle, for angle x perpendicular side is 8 and base side is 7.8.

Determine the measure of angle x by using trigonometry.

$\begin{gathered} \tan x=\frac{8}{7.8} \\ x=\tan ^{-1}(\frac{8}{7.8}) \\ =45.725 \\ \approx45.7 \end{gathered}$

So measure of angle x is 45.7 degrees.