A car manufacturer claims that you can drive its new vehicle across a hill with a 47 degree slope before the vehicle starts to tip. If the vehicle is 2.0 meter wide, how high is its center of gravity?

Answer 1

The whole deal is drawing the picture.
the wheel is 1 meter down slope from the center line of the vehicle
g is x meters from the road normal to road surface along that center line

so
tan 47 = x/1
x = tan 47 = 1.07 meters
but do not put passengers on the roof. (I am a ship designer :)