MATHEMATICS
FULL MARKS - 80
TIME - 2 HOURS
Answer to this paper must be written on the paper provided separately.
You will not be allowed to write during first 15 minutes.
This time is to be spent in reading the question paper.
The time given at the head of this paper is the time allowed for writing the answers.
The paper will be divided in two sections, Section 7 (40 marks)and Section II (40 marks).
Attempt all questions from PART I (compulsory). A total of four questions are to be attempted
from PART II out ofsix questions.
The marks for questions or parts of questions are given in brackets [ ].
PART I (40 MARKS)
Attempt all the questions from this part
Question 1.
a. A man standing on the bank of a river observes that the angle of elevation of a tree on the opposite bank is
60°. When he moves 50m away from the bank, then he find the angle of elevation to 30°. Calculate
i. the width of the river.
ii. the height of the tree.
[4]
b. Prove the identity:
(sind + cos/) (tano + coto) = seco + cosece
[4]
c. Find the 20th term of the sequence 7, 3, -1, -5, ...
[2]
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