Geometry And Trigonometry Jamb Mathematics Past Questions
Question 26
The angle of elevation of a building from a measuring instrument placed on the ground is 30°. If the building is 40m high, how far is the instrument from the foot of the building?
- A. \(\frac{20}{√3}\)m
- B. \(\frac{40}{√3}\)m
- C. 20√3m
- D. 40√3m
Question 27
In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.
- A. √23cm
- B. √13cm
- C. 2√5cm
- D. 2√3cm
Question 28
In a triangle XYZ, < YXZ = 44° and < XYZ = 112°. Calculate the acute angle between the internal bisectors of < XYZ and < XZY.
- A. 12°
- B. 56°
- C. 68°
- D. 78°
Question 29
A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60°. Calculate the height of the water tank.
- A. 60m
- B. 30 \(\sqrt{3}\)m
- C. 20 \(\sqrt{3}\)m
- D. 10 \(\sqrt{3}\)m
Question 30
Find the point (x, y) on the Euclidean plane where the curve y = \(2x^2- 2x + 3\) has 2 as gradient
- A. (1, 3)
- B. (2, 7)
- C. (0, 3)
- D. (3, 15)
