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AustraliaNSW
Stage 5.1-3

6.05 Applications of trigonometry

Interactive practice questions

If the height of the tree is $h$h m, find $h$h to two decimal places.

A right-angled triangle formed by the height of a tree, the ground, and a line extending from the top of the tree to a point on the ground. The tree’s height is denoted as h meters. The hypotenuse is 26 meters, connects the point on the ground to the top of the tree. The angle of elevation from the ground to the top of the tree is 35 degrees.

Easy
1min

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.

Easy
1min

A helicopter is flying at an altitude of $136$136 metres, at an angle of depression of $35$35° to its landing pad. What is the distance $d$d between the helicopter and the landing pad?

Round your answer to the nearest whole number.

Easy
2min

In the diagram, the slide casts a shadow $4.05$4.05 m along the ground.

The distance between the tip of the shadow and the top of the slide is $4.33$4.33 m.

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

Easy
2min
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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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