Question

Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction What is the approximate measure of angle K? Use the law of sines to find the answer. 20° 34° 41° 53°

Answer 1

Answer:

33.70°

Step-by-step explanation:

The sine rule is represented as follows

a/Sine A = b/Sine B = c/Sine C = 2R

Where a,b and c are the sides and A , D and C are the angles and R is the radius.

The sine rule is used when we have two sides and an angle or we have an angle and the radius.

In this case we have two sides and an angle.

We can apply the sine rule with our points as j , k and l

We want to find angle k so we substitute the values in the formula

l/Sine L = k/Sine K

4.7/sine 105° = 2.7/sine K

We find sine 105° using the calculator

Sine 105° =0.9659

4.7/0.9659 = 2.7/sine K

4.7 ÷ 0.9659 = 2.7/Sine K

4.8659 = 2.7/sine K

To get the size of angle K

4.8659 × sine K = 2.7

Sine K = 2.7 ÷ 4.8659

Sine K = 0.5549

To get angle K is now very easy we simply find the sine inverse of the answer here.

K = sin¹ 0.5549

We use the calculator simply pressure shift then sine and number

The answer is 33.70°