Question

Please help fast!!!! trig/ geometry

Answer 1

Answer:

b = 5.7

A = 51.1°

B = 38.9°

Step-by-step 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:

$sin(A) = \frac{Opp}{Hyp}$

$sin(A) = \frac{7}{9}$

$A = sin^{-1}(\frac{7}{9})$

A = 51.0575587° = 51.1°

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

B = 38.9°