The walls of the shed are vertical. The shed stands on horizontal ground. The uniform cross-section has one line of symmetry.
The diagram below shows some of the measurements of the cross-section.
Diagram not drawn to scale
Calculate the size of the angle between the roof of the shed and the horizontal. [4]
(b) Petra has a mathematically similar shed.
Diagram not drawn to scale
Calculate the two missing measurements on the diagram above. You must show all your working.[3]
Mark scheme (a)
Scheme
Marks
Comments
Sight of appropriate measurements 0.8 (m) and 1.2 (m)
B1
Full method to find the correct angle, e.g. \(\tan x = 0.8 / 1.2\)
M1
FT ‘their 2.5 – 1.7’ and ‘their 2.4 ÷ 2’
\((x =)\ \tan^{-1} 0.8/1.2\)
M1
33.69...(°) or 33.7(°) or 34(°)
A1
If M0, A0 then award SC1 for an answer of 56(.3°) (or equivalent unrounded irrespective of any labelling on the diagram)
Corrected by Westie's Workshop
The board's mark scheme printed “(or equivalent unrounded irrespective of any labelling on the diagram”. Changed to “(or equivalent unrounded irrespective of any labelling on the diagram)” because a closing bracket was missing.
Original: see the board's mark scheme PDF (link above).
We'd like to use Google Analytics cookies to count visits and see which pages help most. They're optional, and the site works exactly the same either way. Privacy policy
