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1 of 8 0-day streak

Choose perpendicular sections and calculate spatial angles

DIFFICULTYintrostandardchallenge
Question 1 of 8

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A sloping plane and a horizontal plane meet along a straight edge. A vertical cross-section perpendicular to that edge gives right triangle OPQ: OP=72 m lies in the horizontal plane, PQ=30 m is vertical, and OQ lies in the sloping plane. Both OP and OQ are perpendicular to the common edge, so their acute angle is the angle between the planes

Right cross-section OPQ: OP=72, PQ=30, with a right angle at P. The angle at O lies between OP and OQ. Not to scale.7230OPQ
Extracted right-triangle section. Not to scale
(a)1 mark

Find the exact value of tan θ for the angle between the planes

(b)1 mark

Find θ in degrees to 1 decimal place