Mathematics Past Questions and Answers

From a point on the edge of the sea, one ship is 24km away on a bearing S 50^oE and another ship is 7km away on a bearing S40^oW. How far apart are the ships?

A 20km
B 24km
C 25km
D 31km
E 84km

Question 2662:

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 2663:

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 2664:

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 2665:

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 40âˆš3m /3
C 20âˆš3m
D 40âˆš3m
E 60cm