Question

The equation tan−1 (8.9/7.7) = x can be used to find the measure of angle LKJ.

Answer 1

Answer:

Yes, the given equation can be used to find the measure of angle LKJ. The measure of angle LKJ is 49 degree.

Step-by-step explanation:

It the given figure the triangle LKJ is a right angle triangle. Measure of angle B is 90 degree.

$\tan\theta=\frac{perpendicular}{base}$

$\tan K=\frac{LJ}{LK}$

$\tan K=\frac{8.9}{7.7}$

Using inverse trigonometry property.

$K=\tan^{-1}(\frac{8.9}{7.7})$

Therefore the given equation can be used to find the measure of angle LKJ.

$K=\tan^{-1}(1.15584416)$

$K=49.1346713737\approx 49$

Therefore the measure of angle LKJ is 49 degree.

Answer 2

tan−1 (8.9/7.7) = x can also be written as x = arctan (1.156).

Using my TI-83 calculator's inverse tangent function key, I get x = 0.858 radian.  This is equivalent to 49.135 degrees, which we must round off to the nearest whole degree:  49 degrees.