Find the length of OB.

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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:

(ii) Find the length of OB.

1 150 cm

2 140

3 130

4 120

Ans.
(1)

$I n Δ O A B, w e h a v e \sin 30 ° = \frac{O A}{O B} \Rightarrow \frac{1}{2} = \frac{75}{O B} \Rightarrow O B = 150 cm$

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