GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 301:

• JAMB 1989

A regular polygon of (2k + 1) sides has 140° as the size of each interior angle. Find k

A. 4
B. 4\(\frac{1}{2}\)
C. 8
D. 8\(\frac{1}{2}\)

Question 302:

• JAMB 1989

PQRS is a rhombus. If PR\(^2\) + QS\(^2\) = kPQ\(^2\), determine k.

A. 1
B. 2
C. 3
D. 4

Question 303:

• JAMB 1989

In XYZ, y = z = 30° and XZ = 3cm. Find YZ

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

Question 304:

• JAMB 1989

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.

A. 68cm
B. 84cm
C. 100cm
D. 120cm

Question 305:

• 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)