Question

Using trigonometry functions find the value missing in the diagram round to the nearest whole number

Answer 1

Given a right angle triangle

As shown:

Given ∠58

the opposite side to the angle = 22

The adjacent side to the angle = x

So,

`\begin{gathered} \tan 58=\frac{\text{opposite}}{\text{adjacent}} \\ \\ \tan 58=(22)/(x) \end{gathered}`

solve for x:

`x=(22)/(\tan 58)\approx13.747`

round to the nearest whole number

So, the answer will be x = 14