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:

$\begin{gathered} x=17.9523 \\ \\ d=\text{ Integer}(17.9523) \\ \\ m(\text{ minute\rparen = Integer }(17.9523-17)\times60 \\ \\ m=\text{ Integer}(0.9523\times60) \\ \\ m=57^{\prime} \end{gathered}$

So the angle is:

$=17^{\circ}57^{\prime}$