Answer:
b) 1.6 units
y = 1.586 ≅ 1.6 units
Step-by-step explanation:
Explanation:-
step(i):-
The sine rule
[tex]\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]
Given a = 2 and b = y
∠A = 75° and ∠ B = 50°
Step(ii):-
by sine rule
[tex]\frac{a}{Sin A} = \frac{b}{Sin B}[/tex]
[tex]\frac{2}{Sin 75} = \frac{y}{Sin 50}[/tex]
Cross multiplication , we get
2 × sin 50° = y sin 75°
2 × 0.766 = y × 0.9659
[tex]y = \frac{ 2 X 0.766}{0.9659} = 1. 586[/tex]
y = 1.586 ≅ 1.6 units
