Question

Determine the value of x.

Question options:

A) 72.64 units


B) 12.86 units


C) 16.66 units


D) 1.11 units

Answer 1

Answer:C

Explanation:

Answer 2

Explanation:

The 48 degree angle is our reference angle. The side measuring x is opposite that reference angle, and the side measuring 15 is adjacent to that reference angle. That means we need the trig ratio that uses the sides opposite and the side adjacent, which is tangent; namely:

`tan48=(x)/(15)` and solve for x by multiplying both sides by 15 to get

15tan48 = x so

x = 16.66 units