Answer all questions

Section A (1 mark each)

2011-CE-MATH 2 Q24 1. The figure shows a prism ABCDEF with a right-angled triangle as the cross-section. The angle between BE and the plane ABCD is

A. ABE.

B. CBE.

C. DBE.

D. EBF.

2011-CE-MATH 2 Q50 2. In the figure, ABCDEFGH is a cuboid. If FHG = x, BFG = y and HBG = z, then tan z =

A. tan x tan y.

B. .

C. .

D. .

2010-CE-MATH 2 Q28 3. In the figure, AD is a vertical pole standing on the horizontal ground BCD. If E is a point lying on BC such that DE and AE are perpendicular to BC, then the angle between the plane ABC and the horizontal ground is

A. ABD.

B. ABE.

C. ACD.

D. AED.

4.

In the figure, ABCDEFGH is a cube. If M and N are the mid-points of AB and EH respectively, then cos =

A. .

B. .

C. .

D. .

2009-CE-MATH 2 Q16 5. The angle of elevation of P from Q is 40, then the angle of depression of Q from Q is

A. 40.

B. 50.

C. 130.

D. 140.

2009-CE-MATH 2 Q47 6. In the figure, ABCDEFGH is a rectangular block. EG and FH intersect at X. M is the mid-point of BG. If the angle between MX and the plane BCHG is , then tan =

A. .

B. .

C. .

D. .

2008-CE-MATH 2 Q49 7. The figure shows a right prism ABCDEF with a right-angled triangle as the cross-section. A, B, E and F lie on the horizontal ground. G and H are two points on the horizontal ground so that G, A, B and H are collinear. It is given that AB = 6 m, AG = 3 m and BH = 2 m. If DAE = a, CBF = b, CHF = c and DGE = d, which of the following must be true?

A. a < d < c

B. c < a < d

C. c < d < b

D. d < c < b

2007-CE-MATH 2 Q24 8. In the figure, ABCDE is a right pyramid with the square base BCDE. F is a point lying on AC such that BF and DF are perpendicular to AC. The angle between the plane ABC and the plane ACD is

A. ACB.

B. BAD.

C.