Mathematics - Leaving Certificate Examination - Sample Paper - 2012 Page 14
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20Question 7
7
(
(50 marks)
)
Gráinne ha
as been out
on a river in
n a kayak an
nd has
stopped at
a point on o
one side of
the river. H
However,
she wants t
to get out on
n the other
side. Look
king across,
she can on
ly see two p
possible pla
aces to get o
out. One is
a bit up the
e river from
m where she
is now, and
d one is
farther dow
wn the river
r. Because o
of the curre
nt, she can
go faster to
owards the p
point down
the river th
han the one
up the rive
er.
The situati
on is shown
n in the diag
gram below
w. The bank
ks of the rive
er are parall
lel. Gráinn
e’s
position is
marked G.
The places
s where she
can get out
t are marked
d A and B.
The angles
are as
shown. Th
he distance
from B to A
A is 72 metr
es.
If she trave
els in a strai
ight line to A
A, Gráinne
can go at 0
·9 m/s and i
if she travel
ls in a straig
ght line to
B she can g
go at 3·2 m/
/s.
72 m
m
A
B
current
67°
40°
G
(a)
Find
the distanc
ces from G t
to A and fro
om G to B.
Dista
ance from G
G to A:
Leaving Cert
tificate 2012 –
– Sample Pape
er
Page 14 of
19
Project M
Maths, Phase 1
1
Paper 2 – O
Ordinary Level
l
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