Hey guys, I have this assignment due on Monday and I have done all of it except for the last question. I am in Year 10 level 1 Maths.

Here is the questions.

Mr X is constructing a hexagonal pergola in his backyard. The roof of the pergola needs to be 7 metres wide (from one side to its opposite, not vertex to vertex). The top view of the pergola is a regular hexagon and is shown in the diagram below.

A) Calculate the interior angle of each vertex of the pergola.

Notes: Ok I think this has to do with the sin/cosine rule, but I just don't know the equations for this.

B) Using the cosine rule and not the tangent ratio, calculate how long each side must be to achieve an overall width of 7 metres as stated above.

Notes: I have no idea about this question.

C) If Mr X placed guttering around the perimeter of the roof, what is the minimum length of guttering required?

Notes: No idea aswell :|

Yeah so I pretty much need help with these, if someone can try and do it, I thank you.