WAEC Mathematics Past Questions & Answers - Page 290

1,446.

Find the median of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, 25

A.

33

B.

29.5

C.

29

D.

28.5

E.

28

Correct answer is D

15, 20, 25, 26, 28, 29, 33, 37, 38, 39

median = \(\frac{28 + 29}{2}\)

= 28.5

1,447.

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

Correct answer is E

\(\tan 45 = \frac{x}{500}\)

\(x = 500 \tan 45\)

= \(500 m\)

1,448.

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

Correct answer is B

\(\tan 30 = \frac{x}{40}\)

\(x = 40 \tan 30 = \frac{40}{\sqrt{3}}\)

= \(\frac{40\sqrt{3}}{3} m\)

1,449.

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

Correct answer is D

\(\sin x = \frac{12}{13}\)

\(\cos x = \frac{5}{13}\)

\(\cos^{2} x = (\frac{5}{13})^2 = \frac{25}{169}\)

\(1 - \cos^{2} x = 1 - \frac{25}{169}\)

= \(\frac{144}{169}\)

1,450.

Cos 75o has the same value as

A.

cos 115o

B.

cos 255o

C.

cos 285o

D.

-sin165o

E.

-sin 255o

Correct answer is C

No explanation has been provided for this answer.