Question

Find the acute angle x. Round to the nearest minute. tan x = 0.324X=___ ___

Answer 1

Given:

`\tan x=0.324`

Find-:

The actual angle x.

Sol:

For the angle x is:

`\begin{gathered} \tan x=0.324 \\ \\ x=\tan^(-1)(0.324) \\ \\ x=17.9523 \end{gathered}`

x in decimal form is 17.9523

Angle in the nearest minute is:

`\begin{gathered} x=17.9523 \\ \\ d=\text{ Integer}(17.9523) \\ \\ m(\text{ minute\rparen = Integer }(17.9523-17)*60 \\ \\ m=\text{ Integer}(0.9523*60) \\ \\ m=57^(\prime) \end{gathered}`

So the angle is:

`=17^(\circ)57^(\prime)`