Two boys simultaenously aim their guns at a brid 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 50m and releases his shot with a speed of 80m/s. How must he aim his gun so that both the shots hit the bird simultaenously ? What is the distance of the foot of the tower from the first boy and the height of the tower ?

Explanation

To solve the problem, we need to find the angle at which the second boy must aim his gun so that both shots hit the bird simultaneously. We will also find the distance of the foot of the tower from the first boy and the height of the tower.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- First boy's speed (u1) = 100 m/s
- Angle of projection for the first boy (θ1) = 30°
- Second boy's speed (u2) = 80 m/s
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