Calculate the value of .
...............................
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Calculate the value of .
...............................
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The diagram shows a flagpole in a garden.
The flagpole has height 25 m.
A rope from the top of the flagpole is tied to the ground 8m from its base.
Calculate the length of this rope.
................................................ m
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The diagram shows a right-angled triangle.
Show that the value of is 41.8, correct to 3 significant figures.
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Calculate .
= ......................................... cm
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Calculate .
........................... m
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Calculate the value of .
............................
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The diagram shows a right-angled triangle .
Calculate
..........................m
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The diagram shows a right-angled triangle.
Calculate the value of .
= .....................................
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The diagram shows a right-angled triangle.
Use trigonometry to calculate the value of
.............................. [2]
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The diagram shows a right-angled triangle.
Calculate the value of .
............................ [2]
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Write down the value of sin 45°.
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Calculate .
= ........................................... cm
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The diagram shows a rectangle 14cm by cm.
The diagonal is 23 cm.
Calculate the value of .
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The diagram shows a right-angled triangle.
Calculate the value of .
= ...................................................
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The diagram shows a right-angled triangle .
Calculate the length of .
= ................................................m
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The diagram shows a rectangular playground .
m and m.
Calculate .
............................ m [3]
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Show that the value of is 27.2, correct to 3 significant figures.
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Calculate the value of .
= .................................................
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Use trigonometry to calculate the value of.
= ..............................................
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Use trigonometry to calculate the value of .
= ...................................................
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The diagram shows a right-angled triangle.
Calculate the value of .
..............................................
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Calculate the size of angle .
Angle = ............................
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Write down the exact value of cos30°
Given that sin30° = 0.5,
work out the value of .
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The length of one side of a rectangle is 12cm.
The length of the diagonal of the rectangle is 13cm.
Calculate the area of the rectangle.
.......................................... cm2
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Triangles and are both right-angled triangles.
Calculate the value of .
................................
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The diagram shows a field in the shape of a trapezium.
and .
Angle = angle = .
.................................... [3]
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Sam has a rectangular pond, .
= ...............................m [3]
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The diagram shows a right-angled triangle.
............................................ cm [3]
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A speedboat starts at and travels to , then to and then back to .
is due south of and is due west of .
= 39km and = 21 km.
.............................km [3]
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A vertical flagpole, , stands on horizontal ground and is held by two ropes, and .
and angle .
Using trigonometry, calculate .
= ...............................m
Calculate .
.......................... m
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Triangles and are both right-angled triangles.
Calculate the value of .
................................
Calculate the value of .
.................................
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and are points on the circumference of a circle, centre . Angle .
Angle = ............................. [2]
[2]
............................... cm2 [3]
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The diagram shows two vertical phone masts, and , on horizontal ground.
Work out the size of the angle of depression of from
Give your answer correct to one decimal place.
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