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Please help fast!!!! trig/ geometry

Please help fast!!!! trig/ geometry-example-1

1 Answer

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Answer:

b = 5.7

A = 51.1°

B = 38.9°

Explanation:

a = 7

c = 9

✔️Find b using Pythagorean theorem:

b = √(9² - 7²) ≈ 5.7

✔️Find A using trigonometric function:

Reference angle = A

Opposite = a = 7

Hypotenuse = c = 9

Apply SOH:


sin(A) = (Opp)/(Hyp)


sin(A) = (7)/(9)


A = sin^(-1)((7)/(9))

A = 51.0575587° = 51.1°

✔️B = 180 - (90 + 51.1) (sum of triangles)

B = 38.9°

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