10m 12m ? Foundation AO3 A ladder is leaning up against a wall. What is the length of the ladder? Show all your workings
Probing questions How do you identify the hypotenuse when solving a problem using Pythagoras’ theorem? What do you look for in a problem to decide whether it can be solved using Pythagoras’ theorem? Talk me through how you went about drawing and labelling this triangle for this problem. How can you use Pythagoras’ theorem to tell whether an angle in a triangle is equal to, greater than or less than 90 degrees? What is the same/different about a right-angled triangle with sides 5cm, 12cm and an unknown hypotenuse, and a right-angled triangle withsides 5cm, 12cm and an unknown shorter side?
Shelly has her own glider. It was specially hand built and designed by a certain geometry teacher friend of hers in Chicago named Bill. She calls it the TOYMAKER. On her last flight she jumped off a cliff and traveled in a diagonal line for 500 feet before landing 450 feet from the base of the cliff. How high was the cliff to the nearest ten feet? Dra w the diagram and write on the measurements. AO3 Foundation/Higher.
Probing questions. What do you look for when deciding whether a problem can be solved using trigonometry? What’s the minimum information you need about a triangle to be able to calculate all three sides and all three angles? How do you decide whether a problem requires use of a trigonometric relationship (sine, cosine or tangent) or Pythagoras’ theorem to solve it? ‘You can use trigonometry to find missing lengths and/or angles in all triangles.’ Is this statement true? Higher
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