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WAEC Mathematics Past Questions & Answers - Page 337

1,681.

If sinθ = 3/5 find tanθ for 0 < θ < 90^o

A.

4\5

B.

3\4

C.

5\8

D.

1\2

E.

3\8

View answer & explanation

Correct answer is B

sinθ = 3/5
tanθ = 3/4

1,682.

Points P and Q respectively 24m north and 7m east point R. What is the bearing of Q from P to the nearest whole degree?

A.

16^o

B.

17^o

C.

73^o

D.

106^o

E.

164^o

View answer & explanation

Correct answer is E

Using pythagoras' theorem:

Hyp $^2$ = Adj $^2$ + Opp $^2$ → 24 $^2$ + 7 $^2$

Hyp = √625 → 25

$\tan P = \frac{7}{24}$

$\tan P = 0.2917$

$P = \tan^{-1} (0.2917)$

= 16.26°

Bearing of Q from P = 180° - 16.26°

= 163.74° $\approxeq$ 164°

1,683.

Points P and Q respectively 24m north and 7m east point R. Calculate |PQ| in meters

A.

20

B.

24

C.

25

D.

31

E.

84

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,684.

The number 186,470 was corrected to 186,000. Which of the following describe the degree of approximation made?
I. to the nearest hundred II. to the nearest thousand III. to 3 significant figures IV. to 4 significant figures

A.

I & III only

B.

I & IV only

C.

II & III only

D.

II & IV only

E.

All of the above

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,685.

What is the difference in longitude between P (lat. 50°N. long. 50°W) and Q (lat.50°N, long. 150°W)?

A.

300^o

B.

200^o

C.

130^o

D.

100^o

E.

30^o

View answer & explanation

Correct answer is D

Let $\theta$ be the angular difference between P (50°N. 50°W), and Q (50°N, 150°W),

$\theta$ = 150° - 50° =100°

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