Trigonometry - Jamb Mathematics Past Questions and Answers

Question 61:

• JAMB 1999

A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man's head and the bird is 25m, what is the height of the tree?

A. 26.7m
B. 14.2m
C. \(1.7+(25\frac{\sqrt{3}}{3}m\)
D. \(1.7+(25\frac{\sqrt{2}}{2}m\)

Question 62:

• JAMB 1999

Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5.

A. -7/4
B. 7/8
C. 7/4
D. 7/2

Question 63:

• JAMB 1999

From a point P, the bearings of two points Q and R are N67⁰W and N23⁰E respectively. If the bearing of R from Q is N68⁰E and PQ = 150m, calculate PR

A. 120m
B. 140m
C. 150m
D. 160m

Question 64:

• JAMB 1999

Find the length XY in the triangle above.

A. √7 m
B. √6 m
C. √5 m
D. √3 m

Question 65:

• JAMB 2001

Given an isosceles triangle with length of 2 equal sides t units and opposite side √3t units with angle θ. Find the value of the angle θ opposite to the √3t units.

A. 100°
B. 120°
C. 30°
D. 60°