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Calculating distance III
This task is about using trigonometry to calculate distances in practical problems.
Question
1
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a) Emily was standing 300 metres from the Eiffel Tower.
The angle from where she stood to the top of the tower was 45°.
[Not drawn to scale]
a) Emily was standing 300 metres from the Eiffel Tower.
The angle from where she stood to the top of the tower was 45°.
[Not drawn to scale]
Calculate the height of the Eiffel Tower, as shown by '
a
'.
m
Question
1
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b) The top of a 5-metre ladder makes an angle of 30° with the side of a building.
[Not drawn to scale]
b) The top of a 5-metre ladder makes an angle of 30° with the side of a building.
[Not drawn to scale]
Calculate the distance the ladder is from the building at ground level, as shown by '
b
'.
m
Question
1
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c) Taylor walks across a road at an angle of 15° and a distance of 13.5 metres to Pere on the other side.
[Not drawn to scale]
c) Taylor walks across a road at an angle of 15° and a distance of 13.5 metres to Pere on the other side.
[Not drawn to scale]
How wide is the road, as shown by '
c
'?
m