Question

3) A sniper is sitting on top of a tower at a height of 60 ft. There are four work- ers K, L, M and N standing 3 points
at a distance of 96ft, 90ft, 82 ft, and 75 ft respectively from the base of the tower. The heights of K, L, M, and N
are 6ft, 5.5ft, 5.7 ft, and 5.2 ft respectively. The sniper misfires a bullet at an angle with the horizontal. Since the
range covered by the bullet is short, the path of the bullet is assumed to be a straight-line path. If tan theta= 2/3, choose the correct option.
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Answer 1

Answer:

Only K and N are Safe

Step-by-step explanation:

If tan = 2/3 then the angle made with horizontal is 33.69

This implies the angle made with verticle is 56.309

So, if the bullet fires from 60ft, Applying it should reach a distance of 90ft. (Tan =3/2 for verticle) (3/2= ft/60 therefore ft = 90ft) This eliminates K and K is safe.

Since the shot is fired 90ft L is directly a target at foot. So L is not safe

For M - (2/3 = x/82 this implies x = 54.66) But in reality height is 60ft. Difference is 5.4 but L is 5.5ft so L is directly shot in head.

And for N, he is safe If you imply the same above logic