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4.05 2D trigonometry problems

Interactive practice questions

A man standing at the top of the tower at point $B$B, is looking at the ground at point $C$C. Identify the angle of depression in the figure given.

Given $\triangle ABC$ABC which is a right-angled triangle. $\angle ABC$ABC at vertex B is labeled as ɑ. $\angle ACB$ACB at vertex C is labeled as θ. From vertex B, a horizontal dotted line is drawn to point D. And the angle formed from the dashed line BD to the hypotenuse side BC is labeled as σ.

 

$\alpha$α

A

$\sigma$σ

B

$\theta$θ

C
Easy
< 1min

Which diagram correctly displays the point $P$P with a compass bearing between $N$N and $E$E from the point $O$O.

Easy
< 1min

If a person walks at a compass bearing of $SE$SE, and then turns around to go back in the direction they came, what direction are they heading now?

Easy
< 1min

Consider the points on the diagram $P$P, $M$M and $S$S where $S$S denotes the south cardinal point.

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-3

uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

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