The correct answer to the question is : [tex]1.392\ Km[/tex]
CALCULATION:
The angle of inclination of the hill with the horizontal ground [tex]\theta =\ 8^{0}[/tex].
The magnitude of displacement or the distance travelled by the car up that hill is given as -
distance S = 10.0 Km.
We are asked to calculate the vertical displacement.
Applying vector resolution process, we get-
(a) [tex]Scos\theta[/tex] is the horizontal component
(b) [tex]Ssin\theta[/tex] is the vertical component.
Hence, the vertical displacement is calculated as -
Vertical displacement [tex]S_{y} =\ S\sin\theta[/tex]
[tex]=\ 10\times sin8^{0}[/tex]
= 1.392 Km.
Hence, the vertical displacement of the car is [tex]1.392\ Km[/tex]
