The rafters of a gable roof make a slope of 30° with the horizontal. The peak of the roof is 1.5m high. Find the span of the roof
We have
sin30 = 1.5 / h where h is the span of 1/2 of the roof
h = 1.5/sin 30 = 2m
We need to multiply this by 2 to get the span = 4 m