Question

What is the answer to to this question?

Answer 1

10

Explanation:

We have to find the measure of angle C. We are given lengths of side AB and side AC.

From the figure we can see that side AB is opposite to angle C and side AC is adjacent to angle C. Tangent ratio uses the opposite and adjacent side, so using tangent ratio we can find the missing angle.

`\textrm{Tanget of angle}=(Opposite)/(Adjacent) \\\\ \textrm{Tangent of C}=(AB)/(AC)\\\\ tan(C) = (2)/(11)\\\\ C=tan^(-1)((2)/(11) )\\\\ C=10`

Thus, the measure of angle C, rounded to nearest degree is 10

Answer 2

C = 10

Explanation:

tan theta = opposite/ adjacent

tan C = AB /AC

tan C = 2/11

Take the inverse tan of each side

tan ^-1 (tan C ) = tan ^-1 (2/11)

C =10.30484647

Rounding to the nearest degree

C = 10