Question 7
Luka drove along a straight road over a mountain pass. At a horizontal distance of $x$ metres from the foot of the pass he was at an altitude of $h(x) = -\frac{x^{2}}{20000} + \frac{3x}{5} + 560$ metres (see figure).
a) At what altitude is the highest point of the pass?
b) Calculate the slope angle of the road, accurate to the minute, at the point where Luka was 4000 metres from the foot of the pass in the horizontal direction.
(8 points)
a) At what altitude is the highest point of the pass?
b) Calculate the slope angle of the road, accurate to the minute, at the point where Luka was 4000 metres from the foot of the pass in the horizontal direction.
(8 points)