Waec Mathematics 1993 Past Questions and Answers

Question 31:

• WAEC 1993

Given that tan x = 5/12, what is the value of sin x + cos x ?

A. 5/13
B. 7/13
C. 12/13
D. 17/13
E. 5/12

Question 32:

• WAEC 1993

Cos 75^o has the same value as

A. Cos 115^o
B. Cos 255^o
C. Cos 285^o
D. -sin165^o
E. -sin 255^o

Question 33:

• WAEC 1993

If sin x = 12/13, where 0° < x < 90°, find the value of 1 - cos\(^2\)x

A. 25/169
B. 64/169
C. 105/169
D. 144/169
E. 8/13

Question 34:

• WAEC 1993

The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30o. Find the height of the tower.

A. 20m
B. 40√3m /3
C. 20√3m
D. 40√3m
E. 60cm

Question 35:

• WAEC 1993

At a point 500m from the base of a water tank the angle of elevation of the top of the tank is 45o. Find the height of the tank,

A. 250m
B. 353m
C. 354m
D. 433m
E. 500m