Question

Will reward brainliest

Answer 1

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

  $\frac{1}{2}$ = x ÷ 12

$\frac{1}{2}$ = $\frac{x}{12}$

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