Answer:
Measure of the side opposite to the angle measuring 33° is 9.37 unit
Step-by-step explanation:
If a, b and c are the sides of a triangle,
And 'a' = 8
b = 15
Measure of the Included angle C = 33°
By applying cosine rule in the given triangle,
c² = a² + b² - 2abcos(C)
c² = 8² + (15)² - 2(8)(15)cos(33°)
= 64 + 225 - 201.28
= 87.72
c = √87.72
c = 9.266
≈ 9.27
Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units