Question

Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees. Given right triangle PQR, which represents the value of sin(P)? StartFraction R P Over R Q EndFraction StartFraction R P Over P Q EndFraction StartFraction R Q Over P Q EndFraction StartFraction R Q Over P R EndFraction

Answer 1

Answer:

The correct option is option (c).

$Sin \ P= \frac {RQ}{PQ}$

Step-by-step explanation:

Right angled triangle:

• One angle must be 90° and other two angles are acute angle.
• The hypotenuses is the longest side of the triangle and opposite right angle.
• It follows the Pythagorean Theorem.

Given that,

∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°

we know that,

$sin \theta =\frac{Opposite }{Hypotenuse}$

for sin P , the opposite is QR.

The hypotenuse is PQ.

Therefore,

$Sin \ P= \frac {RQ}{PQ}$

Answer 2

Answer:

c

Step-by-step explanation: