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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.
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There are some mistakes and some correct methods and correct answers.
Find the mistakes and write out the correct calculation using that method.
Explain how and why the methods that get the correct answers work.
How quickly can you find me?
I am a whole number less than 1000.
The product of my digits is 225.
I am not a multiple of 5.
Am I a multiple of 13?
Am I real? Am I rational? Am I irrational?
Now divide me by 11. Is the answer real? […]
Insert signs and symbols to make each line a true equation.
Hint: You can use square roots and cube roots.
As an extension you could investigate the factorial sign on your calculator and use factorials to answer the same questions for 0 0 0 = 6 and 1 1 1 = […]
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