Question

= cos 60° cos30° - sin 60° sin 30°. In right angle triangle APQR, right angle is at Q and PQ = 6cms RPQ = 60° Determine the lengths of QR and PR.Give me correct explanation​

Answer 1

Let PQR is a right angle triangle

PQ=6cm,∠RPQ=60

∘

=∠P

tan60

∘

=

PQ

QR

⇒

3

=

6

QR

⇒QR=6

3

sin60

∘

=

PR

QR

⇒

2

3

=

PR

6

3

⇒PR=6

3

×

3

2

=6×2=12

∴ The length of QR is 6

3

cms

∴ The length of PR is 12 cms