the equation $\tan^{-1}(\frac{8.9}{7.7}) = x$ can be used to find the measure of angle lkj. what is the…

the equation $\tan^{-1}(\frac{8.9}{7.7}) = x$ can be used to find the measure of angle lkj. what is the measure of angle lkj? round to the nearest whole degree. 41° 45° 49° 55°

the equation $\tan^{-1}(\frac{8.9}{7.7}) = x$ can be used to find the measure of angle lkj. what is the measure of angle lkj? round to the nearest whole degree. 41° 45° 49° 55°

Answer

Explanation:

Step1: Recall inverse - tangent function

We know that if $\tan^{-1}(y)=x$, then $x$ is the angle whose tangent is $y$. Here $y = \frac{8.9}{7.7}$.

Step2: Calculate the value of $x$

Using a calculator, $x=\tan^{-1}\left(\frac{8.9}{7.7}\right)$. First, calculate $\frac{8.9}{7.7}\approx1.1558$. Then, $x = \tan^{-1}(1.1558)$. Using a calculator in degree - mode, $x\approx49^{\circ}$.

Answer:

$49^{\circ}$