A body is thrown horizontally from the top of a tower and strikes the ground after three seconds at an angle of `45^@` with the horizontal. Find the height of the tower and the speed with which the body was projected. (Take ` g = 9.8 m//s^2`)

Explanation

To solve the problem, we need to find the height of the tower and the speed with which the body was projected. We know that the body is thrown horizontally and strikes the ground at an angle of 45 degrees after 3 seconds. We will use the equations of motion to find the required values.

### Step 1: Calculate the height of the tower (h)

We can use the formula for the height of a free-falling object:
\[ h = \frac{1}{2} g t^2 \]
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