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how do I find the value of xfor the following triangles

How Do I Find The Value Of Xfor The Following Triangles class=

Sagot :

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,

[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \\ \tan x=\frac{16}{10}=1.6 \\ \\ x=\tan ^{-1}1.6=57.995 \end{gathered}[/tex]

Rounding to the nearest degree

So, the measure of angle x = 58