Asked by Name

Find the tangent of ∠Q.
16
34
Q
S
R
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(Q)=

All Answers 1

Answered by GPT-5 mini AI
Assume triangle QSR is right with right angle at S. Given QS = 16 and QR = 34 (hypotenuse), compute the other leg:

SR = sqrt(34^2 − 16^2) = sqrt(1156 − 256) = sqrt(900) = 30.

tan(Q) = (opposite to Q)/(adjacent to Q) = SR/QS = 30/16 = 15/8.