Two real numbers a and b are chosen independently and uniformly at random from the interval (0,75). Let O and P be two points on the plane with OP=200. Let Q and R be on the same side of line OP such that the degree measure of ∠POQ and ∠POR are a and b respectively and ∠OQP and ∠ORP are both right angles. The probability that QR≤100 is equal to

Two real numbers a and b are chosen independently and uniformly at ran

1.	Two real numbers a and b are chosen independently and uniformly at random from the interval (0,75). Let O and P be two points on the plane with OP=200. Let Q and R be on the same side of line OP such that the degree measure of ∠POQ and ∠POR are a and b respectively and ∠OQP and ∠ORP are both right angles. The probability that QR≤100 is equal to
Answer» Two real numbers $a$ and $b$ are chosen independently and uniformly at random from the interval $(0, 75) .$ Let $O$ and $P$ be two points on the plane with $O P = 200.$ Let $Q$ and $R$ be on the same side of line $O P$ such that the degree measure of $∠ P O Q$ and $∠ P O R$ are $a$ and $b$ respectively and $∠ O Q P$ and $∠ O R P$ are both right angles. The probability that $Q R \leq 100$ is equal to

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