could some one help be with this question plz (this is maths standard 2022) (1 Viewer)

Barunsangha

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Question 10

A big screen is to be constructed behind the stage to display the artists during the concert and each audience member must be able to view the screen. The dimensions of the screen are 5m by 3m.

The audience for the concert is to be arranged into a seating section and a standing section. The seating section will be closest to the stage and extends the sector formed by the stage. The standing section is located behind the seating section and extends another 20 meters beyond the seating section.

Consider an audience member towards the back of the seated section and another towards the back of the standing section.

If the angle of elevation to the bottom of the screen for each seated audience member is less than 15°, their view is distorted by the audience members in front.

Similarly, if the angle of elevation for the standing audience members is less than 8°, their view is distorted by the audience members in front.

You may assume that the eye level of a seated audience member is 1.4 meters and a standing member is 1.7 meters. Draw a diagram showing all the information given above.

a) Upload the diagram in the box ( 2 marks)


b) Use your knowledge of trigonometry to determine the length of the seated section (x) and the height (h) at which the bottom of the screen must be above the ground to allow for the above conditions. Justify your answer with supporting mathematics. ( 2 marks)


 

jimmysmith560

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Something does not appear to be right about this. First, this question comes straight from:


What's intriguing is that this question is aimed at students taking Mathematics Advanced, not Mathematics Standard, as evidenced by the title of the document, its nature, its outcomes and success criteria. Only one outcome (in bold) matches that of Mathematics Standard:
  • MA11-3 uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes
  • MA11-8 uses appropriate technology to investigate, organise, model and interpret information in a range of contexts
  • MA11-9 provides reasoning to support conclusions which are appropriate to the context
This is possibly something to question. 🤔

Apologies that this doesn't provide an approach/solution to your question, but I hope it helps! :D
 

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