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Kobotan [32]
3 years ago
8

Solve the right triangle Round your answer to the nearest tenth

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

B = 40°

a = 23.0

b = 19.3

Step-by-step explanation:

✔️B = 180° - (90° + 50°) => sum of triangle

B = 40°

✔️Reference angle = 50°

Opp = a

Hypotenuse = 30

Adjacent = b

Find a by applying the trigonometric function, SOH:

Sin 50 = Opp/Hyp

Sin 50 = a/30

30 × Sin 50 = a

23.0 = a

a = 23.0 (nearest tenth)

To find b, apply CAH:

Cos 50 = Adj/Hyp

Cos 50 = b/30

30 × Cos 50 = b

b = 19.3 (nearest tenth)

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