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Calculating distance II
This task is about using trigonometry to calculate distances in practical problems.
Use the formulae in the box to answer the following questions.
Question
2
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a)
A jet plane climbs at an angle of 60° and travels a distance of 3000 metres.
[Not drawn to scale]
a)
A jet plane climbs at an angle of 60° and travels a distance of 3000 metres.
[Not drawn to scale]
How far has the plane travelled in the horizontal direction, shown by '
w
'?
metres
Question
2
Change answer
b)
A submarine dives at an angle of 40° for 935 metres.
[Not drawn to scale]
b)
A submarine dives at an angle of 40° for 935 metres.
[Not drawn to scale]
Calculate the depth the submarine will be at after the dive, shown by '
x
'.
metres
Question
2
Change answer
c)
Simon and Maraea are playing golf. Maraea is 110 metres away from the hole.
Simon is standing at an angle of 17° from Maraea and the hole.
[Not drawn to scale]
c)
Simon and Maraea are playing golf. Maraea is 110 metres away from the hole.
Simon is standing at an angle of 17° from Maraea and the hole.
[Not drawn to scale]
How far is John from the hole, shown by '
y
'?
metres
Question
2
Change answer
d)
Josh watched a space shuttle launch. When the space shuttle was 15 km above the Earth, there was an angle of 60° between where Josh was standing, the space shuttle, and the launch site.
[Not drawn to scale]
d)
Josh watched a space shuttle launch. When the space shuttle was 15 km above the Earth, there was an angle of 60° between where Josh was standing, the space shuttle, and the launch site.
[Not drawn to scale]
Calculate how far Josh was from the launch site, shown by '
z
'.
km