In triangle PQR, we have angle P=90°, QR= 20, and Tan R = 4sinR. What is PR?

tan R = sin R/cos R

sin R/cos R = 4 sin R

cos R = 1/4

PQ = 5

so by Pythagoras

PR = 5*sqrt(15)

Sorry that's incorrect :(

angle R = 75.52248781º

PR = 20 * cos(R) = 5

PQ = 19.36491673