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

(c)

Explanation:

the person above is right! it is C :D

Answer 2

The correct option is option (c).

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

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 =(Opposite )/(Hypotenuse)`

for sin P , the opposite is QR.

The hypotenuse is PQ.

Therefore,

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