1.

Two boys simultaneously aim their guns at a bird sitting on a tower. The first boy releases his shot with a speed of 100m/s at an angle of projection of `30^(@)` . The second boy is ahead of the first by a distance of 50 m and releases his shot with a speed of 80m/s. How must he aim his gun so that both the shots hit the bird simultaneously ? What is the distance of the foot of the tower from the two boys and the height of the tower ? With what velocities and when do the two shots hit the bird?

Answer» Correct Answer - `[theta-sin^(-1)((5)/(8))]`


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