Question

In ΔPQR, the measure of ∠R=90°, the measure of ∠P=62°, and RP = 8.6 feet. Find the length of QR to the nearest tenth of a foot.

Answer 1

in triangle PQR

relationship between base and perpendicular is given by tan angle

tan 62=p/b

tan62=x/8.6

x=tan62×8.6=16.17ft

the length of QR to the nearest tenth of a foot is 16ft.