Question

A sniper is sitting on top of a tower at a height of 60 ft. There are four work- ers K,L,Mand N standing at a distance of 96ft,90ft,82 and 75ft respectively from the base of the tower. The heights of K,L,M , and Nare 6ft,5.5ft,5.7ft and 5.2ft respectively. The sniper misfires a bullet at an angle θwith the horizontal. Since the range covered by the bullet is short, the path of the bul- let is assumed to be a straight-line path. If tanθ=2/3, then find who was hurted and whose are not.?​

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