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8 Trigonometry
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AustraliaNSW
Stage 5.1-2

8.02 The trigonometric ratios

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Practice

Interactive practice questions

Which of the following is the opposite side to angle $\theta$θ?

A right-angled triangle has vertices labeled in a counterclockwise direction: top vertex is labeled as $A$A, bottom-left vertex is labeled as $B$B, and bottom-right vertex is labeled as $C$C. At vertex $A$A, $\angle BAC$∠BAC is labeled as $\alpha$α, and marked with a single blue arc. At vertex $B$B, $\angle ABC$∠ABC is labeled as $\theta$θ, and marked with a double blue arc. At vertex $C$C, $\angle ACB$∠ACB is the right angle denoted by a small square. The hypotenuse is the side $AB$AB,and is opposite vertex $C$C. Horizontal side $BC$BC is opposite of vertex $A$A. Vertical side $AC$AC is opposite of vertex $B$B.

$AC$AC

A

$AB$AB

B

$BC$BC

C
Easy
< 1min

Which of the following is the opposite side to angle $\alpha$α?

Easy
< 1min

Which of the following is the adjacent side to angle $\theta$θ?

Easy
< 1min

Which of the following is the adjacent side to angle $\alpha$α?

Easy
< 1min
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Outcomes

MA5.1-10MG

applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression

MA5.2-13MG

applies trigonometry to solve problems, including problems involving bearings

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