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ozzi
3 years ago
11

Will reward brainliest

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

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

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