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Question

two stones are projected from the same point with same speed making angles 45 +thetaand 45 - theta with the horizontal respectively . if theta less than or equal to 45 degrees , then the horizontal ranges of the two stones are in ratio ?

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Solution

$S o, w e c a n w r i t e \frac{R_{1}}{R_{2}} = \frac{\sin 2 (45 + θ)}{\sin 2 (45 - θ)} = \frac{2 \sin (45 + θ) \cos (45 + θ)}{2 \sin (45 - θ) \cos (45 - θ)} s o i f θ = 45, t h e r a t i o w i l l b e i n f i n i t e . . . . a n d i f i t i s l e s s e r t h a n 45 t h e n t h e r a t i o w i l l b e u n i t y .$

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