Question 1
a. Find the distance, in metres, of the swimming platform from the
pier.
b. Through similarity, 
, and PH:PS = 12:13, Using
this result to show that the distance of the water pump from the house is 300 metres.
c. Find the distance, in metres, of the water pump from
the pier.
d. The river runs east-west. Find, in degrees,
correct to one decimal place
i. the angle WPH.
ii. the bearing of the house from the pier.
Beside the river are two paddocks, PHS and FHS, with dimensions as shown
(1997 Further Mathematics CAT3)
Question 2
a. Find the total area of the two paddocks (correct to the
nearest square metre).
b. Find the length FH in metres (correct to one
decimal place).
In another part of the farm, the farmer has a vertical communication tower at T
with supporting wires anchored at Q and R and attached to a point M
at the top of the tower as shown in the diagram below. In the diagram 
while the distance QR
= 300 metres. Assume Q, R and T are in the same
horizontal plane.
(1997 Further Mathematics CAT3)
Question 3
Find the height of the tower, h, in metres, giving your answer correct to one
decimal place.
(1997 Further Mathematics CAT3)
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