5) A student programs a computer to draw a series of
straight lines with each line beginning at the end of the
previous line and at right angles to it. The first line is
5mm long. Each subsequent line is 25% longer than the
previous one, so that a spiral shape is formed as shown.
(this diagram is not to scale)
a) What is the length, in millimetres, of the eighth straight line drawn by the
program? Express your answer to the nearest tenth of a millimetre. [1 point]
b) Determine the total length of the spiral, in metres, when 20 straight lines have
been drawn. Express your answer to the nearest hundredth of a metre. [2
points]