Answer:
16. x = 16.5
17. x = [tex]33.1^o[/tex]
Step-by-step explanation:
Problem 16: Use the tangent function of angle 36 degrees, since it relates opposite side (12) with adjacent side (x):
[tex]tan(\theta)=\frac{opp}{adj} \\tan(36^o)=\frac{12}{x} \\x=\frac{12}{tan(36^o)} \\x=16.51[/tex]
which rounded to the nearest tenth is: 16.5
Problem 17: Use the arcsin function to find the angle x, since sine relates opposite side with hypotenuse in a right angle triangle:
[tex]sin(x)=\frac{opp}{hypot} \\sin(x)=\frac{12}{22} \\arcsin(sin(x))=arcsin(\frac{12}{22})\\x=arcsin(\frac{12}{22})\\ x=33.0557^o[/tex]
which rounded to the nearest tenth is: 33.1
