Apex Of Roof Design

Difficulty:
higher

Rating:
5-stars

GCSE Marks:
3-marks

GCSE Text:
The design of the roof beams in a new building is shown in this diagram:

angles of roof TRIG.png

Calculate the height of the apex of the roof (side length BC).

Suggestions:
This video was made when a school building was being constructed on site. KIER Construction kindly allowed a number of videos to be made so that students could grasp the use of Maths in the construction industry. Students very much enjoy seeing a professional (other than a teacher) talk about design, specification and mathematics, and it is a firm favourite. It is a conventional Trigonometry question, and accuracy can be specified by the teacher to include rounding skills either to a number of decimal places or significant figures.

Extension Ideas:
Teachers could extend the learning by considering:

  • Rounding to a variety of places/figures
  • Integrating Pythag – maybe add extra measurements to the diagram and require students to calculate an additional hypotenuse (the one to the right of the ‘?’).  Alternatively, provide the hypotenuse to the right of the ‘?’ and require students to calculate the angle to the horizontal.

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