I made a sketch assuming you meant " turns 30° to the left"
so we can find the distance from the car to the metro building using
the cosine law
x^2 = 100^2 + 80^2 - 2(100)(80)cos 150°
= ..
x = 173.943...
At this point you want to go to the gth floor???
Assuming that was supposed to be an actual number, we can find the
height within the building.
e.g. suppose he goes to the 8th floor, the height would be 32 m
and we can find the distance to the car, call it d
d^2 = 32^2 + x^2 , (x from above)
and d = ....
Ranjeet parks his car in a lot on the corner of Parklane and Main Street. He walks 100 m east to
first avenue, turns 30% to the left, and follows First avenue for 80 m to the metro building, where
he takes the elevator to his office on the gth floor. Each floor in the building is 4 m in height. From
his office window, Ranjeet can see his car in the lot.
a) Sketch a diagram to represent this problem, labelling all the given measurements on the
diagram. (5 marks)e
b) How far is Ranjeet from his car, in a direct line? (6 marks)
1 answer