The B$-25$ Mitchell was a bomber aircraft used by the US Army Air Force during World War II$.$ A B$-25$ flies over level ground at a speed of $102$ m$/$s $($with respect to the ground$)$ and maintains an altitude of $2\mathrm{.}85$ km above the ground when it releases a single bomb.

$($a$)$

Find the horizontal distance $($in m$)$ the bomb travels from the point of release to the point where it hits its target at ground level. Ignore the effects of air resistance.

m

$($b$)$

If the B$-25$ maintains a constant course, altitude, and speed while the bomb is falling, where will it be when the bomb hits the target?

directly above the bombahead of the bomb$$behind the bomb

$($c$)$

Bombardiers in these aircraft used telescopic bombsight that allowed them to calculate the time of release. If the bombsight was directly viewing the target at the instant the bomb was released, what was the angle $($in degrees$)$ between the vertical $($directly downward$)$ and the viewing direction of the bombsight?

$$ from vertical