Junior Certificate Examination 2011 Sample Paper Mathematics Page 14
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24Question 9
(Suggested maximum time: 5 minutes)
A surveyor wants to calculate the distance
D
across a lake. The lake is surrounded be
woods. Three paths have been constructed to
provide access to the lake from a road AC as
shown in the diagram.
The lengths of the paths from the road to the
lake are as follows.
E
[AE] = 120 m.
[BE] = 80 m.
[CD] = 200 m.
(a)
Explain how these measurements can
C
A
B
be used to find [ED].
(b)
Calculate [ED], the distance across the lake.
Question 10
(Suggested maximum time: 5 minutes)
A, B, C and D are four points on a circle as shown.
A
[AD] bisects
BAC
.
∠
P is the point of intersection of AD and BC.
(a)
Show that ADB
∆
and APC
∆
are similar.
C
P
B
(b)
Show that
AC
⋅
BD
=
AD
⋅
PC
D
Junior Certificate 2011 – sample paper
Page 14 of 23
Project Maths, phase 1
Paper 2 – Higher Level
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