Finding the angle in a triangle given two sides

Question

It is a right angled triangle with two sides given, the opposite (9) and the adjacent (13).

There for side A-B = 9, side B-C = 13, so what is angle C?

Answer 1

draw the triangle and label the parts

use the tangent function

tan=opposite/adjacent

tanC=9/13

tanC=0.6923077

use the arctan button on your calculator

angle C=34.69515383º or

angle C=34º 41' 42.554"