Question

In △JKL, the measure of ZL=90°, KL = 11 feet, and JK = 32 feet. Find the measure of

ZJ to the nearest tenth of a degree.

Answer 1

x = 20.1 degrees

Explanation:

Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.

Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.

Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.

x= 20.1