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A shot is fired at an angle theta to the...

A shot is fired at an angle `theta` to the horizontal such that it strikes the hill while moving horizontally. Find the initial angle of projection `theta`.

A

a. `tan theta = 2/5`

B

b. `tan theta = 3/8`

C

c. `tan theta = 3/2`

D

d. None of these

Text Solution

Verified by Experts

The correct Answer is:
C
c. `(usintheta)/g = (2usin(theta-37^@))/(gcos37^@)`
`sin theta = (2(sintheta)(4/5)-2costheta(3/5))/(4/5)`
`4sintheta = 8 sin theta - 6 cos theta`
`4 sin theta = 6 cos theta rArr tan theta = 3/2 ` .
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