Question

Find the measurement of sides

Answer 1

(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°

Explanation:

assuming side a/c is side BC/AB since it's opposite of angle A/C

(a) SOH CAH(cos = adjacent side/hypotenuse) TOA

=> cos (25°) = BC/AC or a/b

=> cos (25°) = a/25

=> a = cos (25°) × 25

=> a ≈ 22.7

(b) SOH(sin = opposite side/hypotenuse) CAH TOA

=> sin (25°) = AB/AC or c/b

=> sin (25°) = c/25

=> c = sin (25°) × 25

=> c ≈ 10.6

(c) 180° - 25° - 90°(the right angle) = 65°