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Catalyst: Applying trigonometry: leaning tower

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The Leaning Tower of Gingin at the Gravity Discovery Centre
Catalyst: Applying trigonometry: leaning tower

SUBJECTS:  Maths, Science

YEARS:  9–10


The Leaning Tower of Gingin is the centrepiece of the Gravity Discovery Centre.

The Catalyst team of Derek, Simon and Anja drop watermelons from the tower, to examine the rate at which they fall. They are testing Galileo's theory about falling objects. The dimensions of the tower provide an opportunity to apply some basic trigonometry.


Things to think about

  1. 1.In a right-angled triangle, sin (of the angle) = O/H where O is opposite to the angle and H is hypotenuse of the triangle. What are the two other trigonometric ratios? How might we use these to measure the vertical height of a leaning tower?
  2. 2.Listen for the dimensions of the tower. What is its height and at what angle is it leaning?
  3. 3.Draw the triangle made between the tower, the ground and the falling object. How far from the tower should the melons hit the ground? Use a trigonometric ratio to work out the distance to the nearest centimetre. Choose your answer from the following: a) 12.45, b) 15.50, c) 11.64.
  4. 4.Design a tower where the dropped object will fall exactly 100 m vertically and land exactly 10 m from the base of the tower. Include all measurements and angles.



Date of broadcast: 2 Jul 2013


Copyright

Metadata © Australian Broadcasting Corporation and Education Services Australia Ltd 2012 (except where otherwise indicated). Digital content © Australian Broadcasting Corporation (except where otherwise indicated). Video © Australian Broadcasting Corporation (except where otherwise indicated). All images copyright their respective owners. Text © Australian Broadcasting Corporation and Education Services Australia is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0).

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