Respuesta :

mhanifa

Answer:

Note:

  • Rounded to the nearest tenth  

1)

Tangent = opposite leg / adjacent leg

  • 14/x = tan 43°
  • x = 14 / tan 43°
  • x = 15.0

2)

  • cos θ = 6/10
  • θ = arccos (0.6)
  • θ = 53.1°

3)

x = AC

  • sin 58 = x/ 4
  • x = 4 sin 58°
  • x = 3.4

AC = 3.4

  • m∠A = 90° - 58° = 32°

4)

  • tan (x) = 7/24 ⇒ adjacent leg = 24 and  opposite leg = 7

Hypotenuse is:

  • c = [tex]\sqrt{24^2+7^2} = \sqrt{625} = 25[/tex]

cosine = adjacent leg / hypotenuse

  • cos(x) = 24/25

5)

  • sine = opposite side / hypotenuse

Since B is right angle, hypotenuse is AC and C is opposite to AB

  • sin (c) = AB/AC
  • sin (c) = 12/15 = 4/5

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