Angles of depression - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 1989

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A. 10(sin 35^o - sin 55^o)
B. 10 cos35^o - cos 55^o
C. 10(tan35^o - tan55^o)
D. 10(cot35^o - cot55^o)

Question 7:

• JAMB 1994

The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?

A. \(\frac{5√3m}{3}\)
B. 5√3m
C. 10√3m
D. \(\frac{10√3m}{3}\)

Question 8:

• 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

Question 9:

• JAMB 2009

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river.

A. 100m
B. 75√3 m
C. 100√3m
D. 200√3m

Question 10:

• JAMB 2012

A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A. 52 cm
B. 43 cm
C. 40 cm
D. 15 cm