Question

TWO QUESTIONS. SINES AND COSINES. SERIOUS HELP ONLY. WILL REPORT IF NEEDED.

1. What is the measure of ∠X ?
Round your final answer to the nearest tenth, if necessary.

12.6º

21.8º

62.8º

82.2°

2. What is the value of d?
Round your final answer to the nearest tenth, if necessary.

19.0 ft

29.3 ft

59.8 ft

60.2 ft

Answer 1

In two questions sines and cosines, rounded value nearest tenth for the measure of ∠X is 82.19 degrees and value of d is 60.16 feet.

What is law of sine?

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

Given infroamtion-

Two figure given in the problem-

• 1) The measure of ∠X-

By the rule of sine law for the angle of figure one, we can write the,

[tex]\dfrac{38}{\sin(x)}=\dfrac{12}{\sin35}[\tex]

Solving the above equation, we get,

∠X=82.19⁰

Thus the measure of ∠X is 82.19 degrees.

• 2) The value of d-

The sine law for the sides of the second triangle can be given as,

[tex]\dfrac{d}{sin(70)}=\dfrac{42}{sin(41)}[\tex]

Solving the above equation, we get,

d=60.16 feet.

Thus the value of d is 60.16 feet.

Hence,

• 1) The measure of ∠X is 82.19 degrees
• 2) The value of d is 60.16 feet.

Learn more about the sine law here;

https://brainly.com/question/2264443