Question

1. For the right triangle RST shown below, what is the tan R?

A. r/s
B. r/t
C. t/r
D. t/s
E.s/t
R
S
T

Answer 1

Answer: r/t (choice B)

Reason:

Angle R is the reference angle since we're computing tan(R)

Side r is opposite angle R. This is the opposite side because it's furthest away from angle R.

Side t is opposite angle T. This is the adjacent side because it's nearest to reference angle R.

The tangent involves the ratio of opposite over adjacent

tan(angle) = opposite/adjacent

tan(R) = r/t