Non Right-Angled Trig

Trigonometry, SMB-067

Find the value of , correct to the nearest minute. (3 marks)

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Trigonometry, SMB-066

Find the value of , correct to the nearest degree. (2 marks)

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Trigonometry, SMB-065

Find the value of , correct to 1 decimal place. (2 marks)

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Trigonometry, SMB-064

Find the value of , correct to 2 decimal places. (3 marks)

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Trigonometry, SMB-063

Find the value of , correct to 1 decimal place. (3 marks)

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Trigonometry, SMB-062

Find the value of , correct to 1 decimal place. (3 marks)

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Trigonometry, SMB-061

Find the value of , correct to the nearest degree. (3 marks)

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Trigonometry, SMB-060

Find the value of , correct to the nearest degree. (2 marks)

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Trigonometry, SMB-059

Find the value of , correct to the nearest degree. (2 marks)

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Trigonometry, SMB-058

Find the value of , correct to the nearest degree. (2 marks)

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Trigonometry, SMB-057

Find , to the nearest degree, such that

(2 marks)

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Trigonometry, SMB-056

Find , to the nearest degree, such that

(2 marks)

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Trigonometry, SMB-055

Find the value of , correct to 1 decimal place. (2 marks)

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Trigonometry, SMB-054

Find the value of , correct to 1 decimal place. (2 marks)

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Trigonometry, SMB-053

Find the value of , correct to 1 decimal place. (2 marks)

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Trigonometry, SMB-052

Find the value of , correct to 1 decimal place. (2 marks)

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Trigonometry, SMC-051

Solve for , giving your answer correct to 1 decimal place.

(2 marks)

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Trigonometry, SMB-050

Solve for , giving your answer correct to 1 decimal place.

(2 marks)

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Measurement, STD2 M6 2023 HSC 35

The diagram shows triangle .

Calculate the area of the triangle, to the nearest square metre. (3 marks)

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Measurement, STD2 M6 2022 HSC 26

The diagram shows two right-angled triangles, and ,

where and .

Calculate the size of angle , to the nearest minute. (4 marks)

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♦ Mean mark 50%.

Measurement, STD2 M6 2021 HSC 32

A right-angled triangle is cut out from a semicircle with centre . The length of the diameter is 16 cm and = 30°, as shown on the diagram.

Find the length of in centimetres, correct to two decimal places. (2 marks)

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Hence, find the area of the shaded region in square centimetres, correct to one decimal place. (3 marks)

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a.

b.

♦ Mean mark part (b) 36%.

Measurement, STD2 M6 2018 HSC 30c

The diagram shows two triangles.

Triangle is right-angled, with and .

In triangle and . The area of triangle is 30 cm².

What is the value of , correct to one decimal place? (3 marks)

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♦ Mean mark 39%.

Measurement, STD2 M6 2015 HSC 22 MC

The area of the triangle shown is 250 cm².

What is the value of , correct to the nearest whole number?

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♦ Mean mark 42%.

Measurement, STD2 M6 2006 HSC 24b

A 130 cm long garden rake leans against a fence. The end of the rake is 44 cm from the base of the fence.

If the fence is vertical, find the value of to the nearest degree. (2 marks)

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The fence develops a lean and the rake is now at an angle of 53° to the ground. Calculate the new distance ( cm) from the base of the fence to the head of the rake. Give your answer to the nearest centimetre. (2 marks)

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ii.

Measurement, STD2 M6 2006 HSC 9 MC

What is the area of this triangle, to the nearest square metre?

$²$
$²$
$²$
$²$

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	$²$

Measurement, STD2 M6 2005 HSC 5 MC

Which formula should be used to calculate the distance between Toby and Frankie?

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Measurement, STD2 M6 2004 HSC 9 MC

What is the area of the triangle to the nearest square metre?

$²$
$²$
$²$
$²$

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	$²$

Measurement, STD2 M6 2008 HSC 5 MC

What is the size of the smallest angle in this triangle?

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Measurement, STD2 M6 2010 HSC 26d

Find the area of triangle , correct to the nearest square metre. (3 marks)

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$²$ $²$

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♦♦ Mean mark 32%.
TIP: The allocation of 3 marks to this question should flag the need for more than 1 step.



	$² ²$

Measurement, STD2 M6 2010 HSC 9 MC

Three towns , and are marked on the diagram.

The distance from to is 76 km. and

What is the distance from to to the nearest kilometre?

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Measurement, STD2 M6 2012 HSC 10 MC

What is the area of this triangle, to the nearest square metre?

$²$
$²$
$²$
$²$

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	$²$