Angles of depression - Jamb Mathematics Past Questions and Answers

Question 1:

• JAMB 1979

The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is

A. 1.5
B. 0.8
C. 1.0
D. 1.02
E. 1.05

Question 2:

• JAMB 2018

A man stands on a tree 150cm 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. 52cm
B. 43cm
C. 40cm
D. 15cm

Question 3:

• JAMB 1979

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A. 1m
B. 1.1m
C. 1.2m
D. 0.9m
E. 1.3m

Question 4:

• JAMB 1979

A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man

A. 30^o
B. 60^o
C. 45^o
D. 25^o

Question 5:

• JAMB 1987

From two points x and y, 8m apart, and in line with a pole, the angle of elevation of the top of the pole are 30^o and 60^o respectively. Fins the height of the pole assuming that x, y and the foot of the pole are 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. \(\frac{12}{\sqrt{3}}\)