Answer:
∴ opposite side = √108
Step-by-step explanation:
Here hypotenuse = 12 ft
It is a right angled triangle.
here triangle ABC in which ∠ C = 60°
∠B = 90°
so ∠A = 180° -( 90 +60)
= 180 - 150
= 30°
cos 60° = adjacent side ÷ hypotenuse
[tex]\frac{1}{2}[/tex] = x ÷ 12
[tex]\frac{1}{2}[/tex] = [tex]\frac{x}{12}[/tex]
12 = 2 x
∴ x = 6
adjacent side = 6
hypotenuse ² = adjacent side² + opposite side²
12² = 6² + opposite side²
144 - 36 = opposite side ²
108 = opposite side²
∴ opposite side = √108
