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Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Answer:

x = 12.3

y = 15.9

Step-by-step explanation:

Apply trigonometric ratio to find x and Reference angle = 51°

Opposite side length = x

Adjacent side length = 10

Hypotensive length = y

✔️To find x, apply TOA:

Tan 51° = Opp/Adj

Tan 51° = x/10

x = Tan 51° × 10

x = 12.3 (nearest tenth)

✔️To find y, apply CAH:

Cos 51° = Adj/Hyp

Cos 51° = 10/y

y × Cos 51° = 10

Divide both sides by Cos 51

y = 10/Cos 51

y = 15.9 (nearest tenth)

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