teferrin000 teferrin000
  • 02-04-2021
  • Mathematics
contestada

please help fast!!!! trig/ geometry

please help fast trig geometry class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 07-04-2021

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:

[tex] sin(A) = \frac{Opp}{Hyp} [/tex]

[tex] sin(A) = \frac{7}{9} [/tex]

[tex] A = sin^{-1}(\frac{7}{9}) [/tex]

A = 51.0575587° = 51.1°

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

B = 38.9°

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