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.

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

$\text{sin}(\angle J)=\frac{22}{54}$

Using inverse sine or arcsin, we will get:

$\angle J=\text{sin}^{-1}(\frac{22}{54})$

$\angle J=24.042075905756^{\circ}$

Upon rounding to nearest degree, we will get:

$\angle J\approx 24^{\circ}$

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

8 0

4 years ago

Write a sentence to describe u+v=90º

olya-2409 [2.1K]

Answer: U and V are complimentary angles.

Step-by-step explanation: K

7 0

3 years ago

Read 2 more answers

If the upper limit of a set =15 lower limit=25 then the center of the set=........

prohojiy [21]

The answer is 20 I think

4 0

3 years ago

A spinner is divided into 10 equal sections numbered 1 through 10. If the arrow is spun twice, what is the probability the first

Sergio039 [100]

Probability of first number being even : 5 even numbers...10 equal sections...probability is 5/10 or 1/2

probability of 2nd number being odd : 5 odd numbers...10 equal sections...so probability of both is 5/10 or 1/2

probability of both occurring : 1/2 * 1/2 = 1/4 <== (or 25% if u need it in percent form or 0.25 if u need it in decimal form)

6 0

3 years ago

Read 2 more answers