Question

I already solved for x. x= 19.1

Please solve for y and show your work.

Answer 1

The answer to your question is x = 19.1 y = 14.52

Explanation:

Process

1.- Use law of sines to find x

x / sin 71° = 18 / sin 63°

- Solve for x

x = 18 (sin 71) / sin 63

- Simplification

x = 18 ( 0.946)/0.891

x = 18(1.062)

- Result

x = 19.1

2.- Find the measure of the third angle

third angle = 180° - 63° - 71°

= 46°

- Use the law of sines to find y

y / sin 46 = 18 / sin 63

- Solve for y

y = 18 (sin 46) / sin 63

- Simplification

y = 18(0.719) / 0.891

y = 18(0.807)

- Result

y = 14.52