Determine the value of x. Question options:

A) 72.64 units

B) 12.86 units

C) 16.66 units

D) 1.11 units

Step-by-step 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:

and solve for x by multiplying both sides by 15 to get

15tan48 = x so

x = 16.66 units

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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