briannamj2
briannamj2 briannamj2
  • 12-01-2021
  • Mathematics
contestada

find c to the nearest 10th. (laws of sines)

find c to the nearest 10th laws of sines class=

Respuesta :

eudora eudora
  • 17-01-2021

Answer:

Option D

Step-by-step explanation:

By applying cosine rule in the given triangle,

a² = b² + c² - 2b.c.cos(m∠A)

By substituting values in the formula,

9² = 10² + c² - 2(10)(c)cos(15)°

81 = 100 + c² - 19.32c

c² - 19.31c + 19 = 0

By quadratic formula,

c = [tex]\frac{19.31\pm\sqrt{(19.31)^{2}-4(1)(19)}}{2(1)}[/tex]

  = [tex]\frac{19.31\pm17.23}{2}[/tex]

  = 1.08, 18.27

  ≈ 1.1, 18.3

Therefore, Option D will be the answer.

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