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WAEC Mathematics Past Questions & Answers - Page 80

396.

The angle of elevation of an aircraft from a point K on the horizontal ground 30 $\alpha$ . If the aircraft is 800m above the ground, how far is it from K?

A.

400.00m

B.

692.82m

C.

923.76m

D.

1,600.99m

View answer & explanation

Correct answer is D

In $\bigtriangleup$ KBC, sin 30 = $\frac{800}{IKCI}$

IKCL = $\frac{800}{sin30^o}$

= $\frac{800}{0.5}$

= 1600m

397.

PQRT is square. If x is the midpoint of PQ, Calculate correct to the nearest degree, LPXS

A.

53^o

B.

55^o

C.

63^o

D.

65^o

View answer & explanation

Correct answer is C

In the diagram given,

tan $\alpha$ = $\frac{1}{0.5}$ = 2

$\alpha$ = tan - 1(2) = 63.43^o

= 63^o

398.

$\begin{array}{c|c} x & 0 & 1\frac{1}{4} & 2 & 4\\ \hline y & 3 & 5\frac{1}{2} & & \end{array}$
The table given shows some values for a linear graph. Find the gradient of the line

A.

1

B.

2

C.

3

D.

4

View answer & explanation

Correct answer is B

Ler: (x1, y1) = (0, 3)

(x2, y2) = ( $\frac{5}{4}, \frac{11}{2}$ )

Using gradient, m = $\frac{y_2 - y_2}{x_2 - x_1}$

= $\frac{\frac{11}{2} - 3}{\frac{5}{4} - 0}$

= $\frac{11 - 6}{2} + \frac{5}{4}$

= $\frac{5}{} + \frac{5}{4}$

= $\frac{5}{2} \times \frac{4}{5}$

= 2

399.

In the diagram, O is the centre, $\bar{RT}$ is a diameter, < PQT = 33 $^o$ and <TOS = 76 $^o$ . Using the diagram, calculate the value of angle PTR.

A.

73^o

B.

67^o

C.

57^o

D.

37^o

View answer & explanation

Correct answer is C

In the diagram given, < PRT = 3 $^o$ (Change in same segment)

< TPR = 90 $^o$ (angle in a semicircle)

Hence, < PTR = 180 $^o$ - (90 + 33) $^o$

= 180 $^o$ - 123 $^o$

= 57 $^o$

400.

In the diagram, PQ//RT, QR//Su,

A.

134^o

B.

132^o

C.

96^o

D.

48^o

View answer & explanation

Correct answer is B

In the diagram; a = b = 48^o (alternate < S)

x = 180^o - b (angles on a str. line)

x = 180^o - 48^o

= 132^o

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