Question 8
A man, P, is looking at a point, Q, at the top of a clock tower. It is known that the
height of the clock tower is 7 meters. If the angle of elevation from the eye level
of the man to the point Q is $38^\circ$, and the height of the man is 1.6 meter,
(a) Draw a labeled diagram that shows the man, P and Q, and the angle of
elevation as describe in the question.
[3 marks]
(b) Find the distance of the man from the base of the tower.
[3 marks]
Question 9
The coordinates of two points are P(0,-2), and Q(3,4).
(a) Sketch the points on the Cartesian axes.
[2 marks]
(b) Evaluate the gradient of the line $PQ$.
[2 marks]
(c) Write the equation of the straight line $PQ$.
[2 marks]
Question 10
A car left Penang at 8.00 a.m. and is traveling at an average speed of 82 km/h
over a distance of 205 km to Ipoh.
Given the formula, Distance travelled = Average speed x travelling time, find
(a) the time of arrival at Ipoh.
[3 marks]
(b) the average speed of the car if the driver had taken a 30 minutes rest
along the journey and wish to arrive at Ipoh at the time as in (a).
[3 marks]