Question

In PQR right angle at q and angle p=30 .If QR=6cm then find the measure of PQ and PR

Answer 1

Given,
angle p=30
angle q=90
clearly, angel r=60
QR=6 cm
in the triangle PQR,PR is hypotneuse.
now,
PQ/RQ=tan 60
PQ=RQ*tan 60
=6*
$\sqrt{3}$
again,
RQ/PR=cos 60
PR=RQ*2
=6*2=12
hence,PQ and PR is
$6 \sqrt{3} \: and \: 12 \: respectively$
Hope this will help you.

Answer 2

Hence,PR=12cm and PQ=6sqrt3