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AustraliaNSW
Stage 5.1-2

8.05 Applications of trigonometry

Interactive practice questions

The person in the picture sights a pigeon above him. If the angle the person is looking at is $\theta$θ, find $\theta$θ in degrees.

Round your answer to two decimal places.

Enter each line of work as an equation.

Easy
1min

In the diagram, the slide casts a shadow $5.66$5.66 m along the ground.

The distance between the tip of the shadow and the top of the slide is $7.84$7.84 m.

Find the value of $\theta$θ to two decimal places.

Easy
2min

A boy flying his kite releases the entire length of his string which measures $27$27 m, so that the kite is $18$18 metres above him.

If the angle the string makes with the horizontal ground is $\theta$θ, find $\theta$θ to two decimal places.

Enter your answer as an equation.

Easy
1min

The person in the picture sights a paraglider above him.

If the angle the person is looking at is $a$a, find $a$a to two decimal places.

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

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