Question

How do I find the value of xfor the following triangles

Answer 1

Given at the figure 1

A right triangle of legs of 10 and 16

We need to find the angle x

The side of 16 represent the opposite side of the angle x

The side of 10 represents the adjacent side of the angle x

According to the known sides, we can find x using tan function :

So,

$\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \\ \tan x=\frac{16}{10}=1.6 \\ \\ x=\tan ^{-1}1.6=57.995 \end{gathered}$

Rounding to the nearest degree

So, the measure of angle x = 58