Question

Find the tangent of ∠B.
20
48
52
B
C
D
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(B)=

Answer 1

Since 20^2 + 48^2 = 400 + 2304 = 2704 = 52^2, the triangle is right with hypotenuse 52 (right angle at C). For angle B the opposite side is 48 and the adjacent side is 20, so

tan(B) = 48/20 = 12/5.