Question

PQRS is a rectangle .If PR = 30.
a} Find < SPR
b} Find QR
c} Find PQ

Answer 1

Answer:

∠SPR= 60°   QR = 1 units      PQ = SR = √3 units

Step-by-step explanation:

PQRS is a rectangle, thus all angles are 90°.

∠QPR = 30°, PQ = √3.

a}   ∠SPR = 90-30 = 60°

b}  QR .

tan30° = QR / PQ

1 / √3 = QR / √3

QR = 1/√3 * √3

QR = 1 units

PQ = SR = √3 units

QR = PS = 1 units

∠S = ∠Q = 90°

∠QPR = ∠SRP = 30°   (Alternate Angles)

∠SPR = ∠QRP = 60°   (Alternate Angles)