Angles of elevation - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 1985

Two points X and Y both on latitude 60^oS have longitude147^oE and 153^oW respectively. Find to the nearest kilometer the distance between X and Y measured along the parallel of latitude(Take 2\(\pi\)R = 4 x 10⁴km, where R is the radius of the earth)

A. 16667km
B. 28850km
C. 8333km
D. 2233km

Question 7:

• JAMB 1991

A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff.

A. 60 (tan 62^o - tan 64^o)
B. 60 (cot 64^o - cot 62^o)
C. 60 (cot 62^o - cot 64^o)
D. 60 (tan 64^o - tan 62^o)

Question 8:

• 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 9:

• 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 10:

• 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