Question

In ΔJKL, the measure of ∠L=90°, LJ = 33 feet, and JK = 58 feet. Find the measure of ∠K to the nearest tenth of a degree.

Answer 1

Answer:41

Explanation:

deltamath

Answer 2

∠K = 29.6°

Explanation:

The diagram is shown below:

From the triangle, JK = 58 feet and LJ = 33 feet. ∠L = 90°.

So, the triangle ΔJKL is a right angled triangle.

Now, for the triangle ΔJKL, tan of the angle K is given as:

`tan(K)=(JL)/(KL)=(33)/(58)`

∴∠K =
`tan^(-1) ((33)/(58))=29.6`°

So, the measure of angle K is ∠K = 29.6° to the nearest tenth of a degree.