Trigonometry - Jamb Mathematics Past Questions and Answers

Question 21:

• 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 22:

• JAMB 1979

One of the following statements is wrong. Which is it?

A. If a triangle is equiangular then it is also equilateral
B. If a triangle is equilateral then it is also then it is also equiangular
C. If two triangles are similar then they are also congurent
D. The sum of the interior angles of any triangle is 180 degrees

Question 23:

• 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 24:

• JAMB 1980

Simplify the given expression \(\sqrt{\frac{1 - cos x}{1 + cos x}}\)

A. \(\frac{1 - cos x}{sin x}\)
B. 1 - cos x
C. Sin x
D. 1 + cos x
E. \(\frac{1 + cos x}{sin x}\)

Question 25:

• JAMB 1980

If \(\theta\) = \(\frac{3}{2}\) and \(\theta\) is less than 90^o, calculate tan \(\frac{(90 - \theta)}{cos^2\theta}\)

A. \(\frac{1}{2}\)
B. \(\frac{4}{\sqrt{3}}\)
C. \(\sqrt{3}\)
D. 4\(\sqrt{3}\)