Question

Find the value of x to the nearest tenth.

Answer 1

16. x = 16.5

17. x =
`33.1^o`

Explanation:

Problem 16: Use the tangent function of angle 36 degrees, since it relates opposite side (12) with adjacent side (x):

`tan(\theta)=(opp)/(adj) \\tan(36^o)=(12)/(x) \\x=(12)/(tan(36^o)) \\x=16.51`

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:

`sin(x)=(opp)/(hypot) \\sin(x)=(12)/(22) \\arcsin(sin(x))=arcsin((12)/(22))\\x=arcsin((12)/(22))\\ x=33.0557^o`

which rounded to the nearest tenth is: 33.1