Question

In ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. Find the measure of ∠J to the nearest degree.

Answer 1

24∘

Explanation:

Answer 2

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

`\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}`

`\text{sin}(\angle J)=(22)/(54)`

Using inverse sine or arcsin, we will get:

`\angle J=\text{sin}^(-1)((22)/(54))`

`\angle J=24.042075905756^(\circ)`

Upon rounding to nearest degree, we will get:

`\angle J\approx 24^(\circ)`

Therefore, the measure of angle J is approximately 24 degrees.