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Worksheet 6.1 Q8

Q8

The figure shows a triangular prism, where ABED, BEFC and ACFD are rectangles with ∠BCA = ∠EFD = 90°. ACFD lies on a horizontal plane. It is given that BD = 13 cm, ∠ABD = 45° and the angle between the line BD and the plane BEFC is 37°. (a) Find the angle between the line of greatest slope of the included plane ABED and the horizontal plane ACFD. (b) Find the shortest distance between the point F and the line BD.