Topics
11. Applications of Trigonometry
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AustraliaVIC
VCE 11 General 2023

11.01 Pythagoras' theorem

Lesson
Worksheet
Practice

Interactive practice questions

Which side of the triangle in the diagram is the hypotenuse?

A triangle with its sides labeled as $X$X, $Y$Y, and $Z$Z is shown. The vertex formed by the intersection of sides $X$X and $Y$Y is a right angle, denoted by a square symbol at the point of intersection.

$X$X

A

$Y$Y

B

$Z$Z

C
Easy
< 1min

Which side of the triangle in the diagram is the hypotenuse?

Easy
< 1min

Which side of the triangle in the diagram is the hypotenuse?

Medium
< 1min

Three towns Quark, Spark and Marc are positioned as shown in the diagram.

Which two towns are furthest apart, assuming a direct route is taken?

Easy
< 1min
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Outcomes

U2.AoS4.2

Pythagoras’ theorem and the trigonometric ratios (sine, cosine and tangent) and their application including angles of elevation and depression and three figure bearings

U2.AoS4.9

solve practical problems involving right-angled triangles in the dimensions including the use of angles of elevation and depression, Pythagoras’ theorem trigonometric ratios sine, cosine and tangent and the use of three-figure (true) bearings in navigation

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