This video is a quick reminder of SohCahToa for GCSE maths, and is aimed at around grade 5. There's a mix of calculation and word problems …
Download a copy of the questions here: QT SohCahToa
Download a copy of the written answers here: QT SohCahToa ANSWERS
1. Work out the size of the angle marked with an x in each of the triangles shown. Give your answers correct to 3 significant figures.
2. A zip line ride is constructed by tying the top of a metal rope, to a vertical mast of height 7.5m. When the metal rope is pulled taut, the distance of the end of the rope to the base of the mast is 18.6m. Work out the angle between the ground and the zip line.
Give your answer to 1 decimal place. (3 marks)
3. The diagram shows the roof of a block of flats. In order to make sure there is enough space for an air conditioning system, the angle x will need to be a minimum of 22 degrees. Can the air conditioning system be correctly fitted? Give a reason for your answer. (3 marks)
4. A 6.5m ladder is placed against a wall. To be safe, it must be inclined at between 70⁰ and 80⁰ to the ground. The ladder is placed 1.6m from the base of the wall. Is the ladder safe to use? (3 marks)
5. Work out the length of the side marked with an x in each of the triangles shown. Give your answers correct to 3 significant figures.
6. A ladder is 5.5m long. The ladder rests against the vertical side of a house, with the foot of the ladder resting on horizontal ground. The angle between the ladder and the horizontal ground is 65o. How far does the ladder reach up the wall? Give your answer correct to 3 significant figures. (3 marks)
7. The diagram shows an equilateral triangle with sides of 8m. Calculate the height of the triangle. Give your answer correct to 3 significant figures. (3 marks)
8. A zip line of length 100m is fastened to the top of a tower. At the point where the zip line meets the ground, the angle of elevation to the top of the tower is 36 degrees. How far is the zip line from the base of the tower? Give your answer to 1 decimal place. (3 marks)
I hope the video helps and please do leave a comment – thanks!
Questions on SohCahToa are usually calculator, around 2 – 4 marks, and appear in all the main GCSE exam boards – Edexcel, AQA, OCR and Educas. The topic is quite useful and has many practical applications from architecture to design ….
- With SohCahToa questions, always work methodically and show your working
- Check your calculations
- Is it a reasonable answer?
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