Practise solving triangle, elevation, depression and bearing problems by defining directions consistently and interpreting lengths or angles with units.
Zheng models the height of a section of a rollercoaster.
She uses the function
where x is the horizontal distance from the left-hand end of the section and f(x) is the vertical height. Distances are measured in metres.
Zheng's model is shown on the following graph of y=f(x).
Point O has coordinates (0,0).
Find the angle of elevation from O to M .
Zheng wants to place advertising boards in front of this section of the rollercoaster. At four positions along the rollercoaster track, she records the horizontal distance from O and the vertical height of the track.
Her values are shown in the table and represented on the graph.