Answer:
1a. 0.5291
1b. 2.0370
1c. 4.2661
2a. 25.7693
2b. 1.8665
2c. 24.0420
2d. 5
Step-by-step explanation:
sin(34) = 0.5290826861 ≈ 0.5291
12 tan(63) = 2.036997025 ≈ 2.0370
5 cos(56) = 4.2661005386 ≈ 4.2661
2a. You have to use tan because tan is opposite over adjacent.
You have [tex]tan(x)=\frac{14}{29}[/tex]
You have to use inverse tangent.
[tex]tan^{-1}(\frac{14}{29})=25.76932762 = 25.7693[/tex]
2b. You have to use cos because cos is adjacent over hypotenuse.
You have [tex]cos(39)=\frac{x}{7}[/tex]
0.2666429324 = [tex]\frac{x}{7}[/tex]
x = 1.8665005268 ≈ 1.8665
2c. You have to use sin because sin is opposite over hypotenuse.
[tex]sin(x) = \frac{11}{27}[/tex]
[tex]sin^{-1}(\frac{11}{27})=24.04207591=24.0420[/tex]
2d. Use the pythagorean theorem.
5
