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The diagram shows a cross-sectional
view of a house.
The roof space is 12 metres across
and 1.5 metres high at the
highest point in the centre.
Find the angle of slope of the roof.
Also find the sloping distance
from the top of the roof to the
top of the walls.
The hottest part of the day is when
the sun is directly overhead.
The roof overhangs by a distance
and it shades all the windows
from the sun while the sun's
rays are inclined at 8
degrees or less to the vertical.
The lowest part of the windows is
one metre above the ground and the
angle
in the diagram is 8
degrees.
Find the length of the overhang,
.
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