Answer:
1. Triangle: B = 47.0° , C = 103.05° , c = 2.53 cm
2. Lake: c = 1105.31 ft
Explanation:
Law of Sine Formula:
Given: A = 30° , a = 1.3 cm , b = 1.9 cm
Solving for sin(B). Cross Multiply.
B = sin^-1(
)
B ≈ 46.9509202
B = 47.0°
Solve for C°
A° + B° + C° = 180°
30° + 46.95° + C° = 180°
C° = 180° - 30° - 46.95°
C° = 103.05°
Solve for sin(C)
Cross Multiply
C ≈ 2.532850806
C = 2.53 cm
Law of Cosine Formula:
Given: a = 850 ft , b = 960 ft , C=75°
Solve for c.
c ≈ 1105.308698
c = 1105.31 ft