Question

Find the tangent of ∠B.
45
53
B
A
C
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(B)=

Answer 1

If BA = 45 and BC = 53 with ABC a right triangle (BC the hypotenuse), then AC = sqrt(53^2 − 45^2) = sqrt(2809 − 2025) = sqrt(784) = 28. For angle B, opposite = AC = 28 and adjacent = BA = 45, so

tan(B) = 28/45.