**"Trigonometry"**

## Year 9 – 11 Cable car

*By toni On 8 May, 2020 · Leave a Comment*

The Cape Town cable car takes tourists to the top of Table Mountain. The cable is 1.2 kilometres in length and makes an angle of 40 degrees with the ground.

Draw a scale diagram and use it to find an approximate value of the vertical height (h) climbed by the cable car.

[…]

## Grades 11 and 12 Great Pyramid

*By toni On 24 April, 2020 · Leave a Comment*

The Great Pyramid at Giza in Egypt was built around 2500 BC. The pyramid has a square base ABCD with sides 232.6 metres long. The distance from each corner of the base to the apex E was originally 221.2 metres.

## UPPER SECONDARY GT7 APPLICATIONS OF TRIGONOMETRY

*By toni On 29 August, 2018 · Leave a Comment*

This guide offers many suggestions for practical surveying tasks that can be done without needing any expensive equipment. Applications of trigonometry include measuring the length of your shadow and relating this to the angle of elevation of the sun and the time of day, measuring heights of buildings, trees and towers, navigation, […]

## Years 10 – 12 Tangled Trig Graphs

*By toni On 17 July, 2017 · Leave a Comment*

Graph 1 is the graph y=sinx. Can you identify the coordinates of the points where it crosses the axes and where it reaches its maximum and its minimum values?

How could I make graph 2 from graph 1? Can you work out the equation of graph 2?

Graph 3 has equation y=sin2x. […]

## Years 10 – 11 At Sea

*By toni On 17 July, 2017 · Leave a Comment*

Two ships are heading towards a lighthouse on the same path, one behind the other. From a height of 42 metre the closer ship is observed at an angle of depression θ where tan θ = ⅘ and the other ship at an angle of depression of 30 degrees. Draw a diagram.

[…]

## Years 10 – 11 Cliff Rescue

*By toni On 17 July, 2017 · Leave a Comment*

A climber is stuck on a cliff face. A rescue worker on the ground is 200 m from the bottom of the cliff. The angles of elevation of the climber and of the top of the cliff as seen by the rescuer are 45 degrees and 60 degrees respectively. Draw a diagram.

[…]

## YEAR 12 IN A SOCCER STADIUM

*By toni On 30 April, 2017 · Leave a Comment*

The angle of elevation from a point C on the ground, at the centre of the goalpost, to the highest point A of the arc, directly above the centre of the Moses Madhiba Soccer Stadium in Cape Town, is 64.75 degrees. The soccer pitch is 100 metres long (PQ […]

## Grades 9 to 11 – Fold a square

*By toni On 18 January, 2012 · Leave a Comment*

A square of paper 8 cm by 8 cm is folded so that the corner P coincides with the midpoint of an opposite edge as shown in the diagram.

Investigate the three triangles (where there is a single thickness of the paper) that are formed by folding in this way.

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