Question

Use the law of sines to find the value of y. Round to the nearest tenth.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

1.4 units
1.6 units
2.5 units
2.6 units

Answer 1

Explanation:

Answer 2

b) 1.6 units

y = 1.586 ≅ 1.6 units

Explanation:

Explanation:-

step(i):-

The sine rule

`(a)/(Sin A) = (b)/(Sin B) = (c)/(Sin C) = 2 R`

Given a = 2 and b = y

∠A = 75° and ∠ B = 50°

Step(ii):-

by sine rule

`(a)/(Sin A) = (b)/(Sin B)`

`(2)/(Sin 75) = (y)/(Sin 50)`

Cross multiplication , we get

2 × sin 50° = y sin 75°

2 × 0.766 = y × 0.9659

`y = ( 2 X 0.766)/(0.9659) = 1. 586`

y = 1.586 ≅ 1.6 units