(a) angle TPR = 90° - 30° = 60°
Reason: because the PTR is a right angled triangle.
(b) sin 30° = PR/14
PR = sin 30° × 14 = 7in.
(c) tan 30° = 7/TR
TR = 7/tan30° = 7 / (1/(#3))
= 7#3 in.
# : square root
(d) sin 45° = 7/PQ
PQ = 7/sin 45° = 7 / (1/(#2))
= 7#2 in.
Hope it helped!