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Pythagoras
&
T ri g o n o m e t r y
Worksheet
(4024)
2 1 (a) Andrei stands on level horizontal ground, 294 m from the foot of a vertical tower which is 55 m high.
(i)
Calculate the angle of elevation of the top of the tower.
Answer(a)(i) ................................................. [2]
(ii)
Andrei walks a distance x metres directly towards the tower.
The angle of elevation of the top of the tower is now 24.8°.
Calculate the value of x.
Answer(a)(ii) x = ................................................. [4]
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4 2
NOT TO
SCALE
5 cm
2 cm
x°
Calculate the value of x.
Answer x = ................................................ [2]
5
3
3
C
8 cm
B
NOT TO
SCALE
28°
A
Calculate the length of AB.
Answer AB = .......................................... cm [2]
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4
9
NOT TO
SCALE
29 cm
x cm
53.2°
Calculate the value of x.
Answer x =
[2]
5
10
P
NOT TO
SCALE
A
78.3°
58.4 m
B
170 m
The line AB represents the glass walkway between the Petronas Towers in Kuala Lumpur.
The walkway is 58.4 metres long and is 170 metres above the ground.
The angle of elevation of the point P from A is 78.3°.
Calculate the height of P above the ground.
Answer
m [3]
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1
6
5 cm
2 cm
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3
NOT TO
SCALE
7
8 cm
5 cm
NOT TO
SCALE
x°
x cm
Calculate the value of x.
Calculate the value of x.
Answer x = ................................................ [2]
Answer x = ................................................. [3]
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8
6
NOT TO
SCALE
628 m
h
15°
Calculate the length h.
Give your answer correct to 2 significant figures.
Answer h = ........................................... m [3]