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Mathematics 1987 JAMB Past Questions

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31

From two points x and y, 8m apart, and in line with a pole, the angles of elevation of the top of the pole are 30ºand 60º respectively. Find the height of the pole assuming that x, y, and the foot of the pole are on the same horizontal plane and x and y are on the same side of the pole.

  • A. \(\sqrt{6}\)
  • B. 4\(\sqrt{3}\)
  • C. \(\sqrt{3}\)
  • D. \(\frac{12}{\sqrt{3}}\)
View Answer & Discuss (5) JAMB 1987
32

A room is 12m long, 9m wide, and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

  • A. \(\frac{15}{17}\)
  • B. \(\frac{8}{17}\)
  • C. \(\frac{8}{15}\)
  • D. \(\frac{12}{17}\)
View Answer & Discuss (3) JAMB 1987
33

What is the circumference of latitude 0°S if R is the radius of the earth?

  • A. R cos\(\theta\)
  • B. 2\(\pi\) R cos \(\theta\)
  • C. R sin \(\theta\)
  • D. 2\(\pi\) R sin \(\theta\)
View Answer & Discuss JAMB 1987
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34

The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4\(\sqrt3\)cm

  • A. 6cm
  • B. 5cm
  • C. 4cm
  • D. 3cm
View Answer & Discuss (8) JAMB 1987
35

What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0

  • A. A circle of radius 4 cm and with centre O
  • B. The perpendicular bisector of the chords
  • C. a straight line passing through centre O
  • D. A circle of radius 6 cm and with centre O
View Answer & Discuss (6) JAMB 1987
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