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hodyreva [135]
3 years ago
5

Find the measurement of sides

Mathematics
1 answer:
mestny [16]3 years ago
7 0

Answer:

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

Step-by-step explanation:

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

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

=> cos (25°) = BC/AC or a/b

=> cos (25°) = a/25

=> a = cos (25°) × 25

=> a ≈ 22.7

(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> 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°

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