Given right triangle pqr, which represents the value of sin(p)?


Asked by maham237 @ in Mathematics viewed by 314 People


Given right triangle PQR, which represents the value of sin(P)?
a - rp/rq
b - rp/pq
c - rq/pq
d - rq/pr

Answered by maham237 @



Answer: The correct option is

(c) \dfrac{RQ}{PQ}.

Step-by-step explanation: We are given a right-angled triangle PQR, with m∠R = 90°, m∠Q = 60° and m∠P = 30°.

We are to select the ratio that represents sin P.

We know that sine of any acute angles is the ratio of the length of the perpendicular to the length of the hypotenuse.

For the acute angle P, we have

perpendicular = RQ and hypotenuse = PQ.

Therefore, we get

\sin P=\dfrac{perpendicualr}{hypotenuse}\\\\\\\Rightarrow \sin P=\dfrac{RQ}{PQ}.

Thus, (c) is the correct option.


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