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
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
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
