Find the length of PQ.

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Solution

Q.
The discus throw is an event in which an athlete aims to throw a discus as far as possible. The athlete spins counterclockwise one and a half times within a circle before releasing the discus. Upon release, the discus travels along a tangent to the circular path of the spin.

In the given figure, AB is one such tangent to a circle of radius 75 cm. Point O is centre of the circle and $angle A B O space equals space 30 degree. space$ PQ is parallel to OA

Based on the above information answer the following questions:

(iii) (b) Find the length of PQ.

1 35.5

2 37.5

3 36.5

4 33.5

Ans.
(2)

$I n r i g h t Δ Q P B, \sin \ funcapply 30 ° = \frac{P Q}{Q B} \Rightarrow \frac{1}{2} = \frac{P Q}{75} \Rightarrow P Q = \frac{75}{2} = 37.5 cm$

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