Trigonometry - Jamb Mathematics Past Questions and Answers

Question 56:

• JAMB 1995

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^o. 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 57:

• JAMB 1995

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^o. 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 58:

• JAMB 1997

The angle of elevation of a building from a measuring instrument placed on the ground is 30^o. 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 59:

• JAMB 1998

solve the equation cos x + sin x \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\)

A. \(\frac{\pi}{2}\), \(\frac{3\pi}{2}\)
B. \(\frac{\pi}{3}\), \(\frac{2\pi}{3}\)
C. 0, \(\frac{\pi}{3}\)
D. 0, \(\pi\)

Question 60:

• JAMB 1998

From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60^o and 45^o respectively. Find the distance between the huts

A. 150(1 + \(\sqrt{3}\))m
B. 50( \(\sqrt{3}\) - \(\sqrt{3}\))m
C. 150 \(\sqrt{3}\)m
D. \(\frac{50}{\sqrt{3}}\)m