WAEC Mathematics Past Questions & Answers - Page 310

1,546.

The angle of elevation of the top of a tree 39m
away from a point on the ground is 30o. Find the height of the tree

A.

39√3m

B.

13√3m

C.

13/\(\sqrt{3}\)m

D.

13/3\(\sqrt{3}\)m

E.

\(\sqrt{3}\)/13m

Correct answer is B

No explanation has been provided for this answer.

1,548.

Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\).

A.

65o

B.

115o

C.

145o

D.

245o

E.

265o

Correct answer is D

Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)

\(\theta\) = -64.99 = -65°

\(\theta\) = 180° - (-65);

180 + 65 = 245°

1,549.

the graph above is a sketch of

A.

y = sin 2x

B.

y=sinx

C.

y=cos2x

D.

y=2sinx

E.

y = 2cos x

Correct answer is D

No explanation has been provided for this answer.

1,550.

Two towns, P and Q, are on (4oN 40oW) and (4oN
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).

A.

2πR cos4o

B.

πR sin40o

C.

πR/2
cos4o

D.

πR/3
cos4o

E.

πR/6
cos4o

Correct answer is D

Angular distance = 40o + 20o = 60o
using θ/360 x 2πr for distance between p and Q
= 60/360 x 2πRcos4o = 1/3πRcos4o