10. A surveyor wants to find out the height of a tower. He measures ∠A as tan A=
. What
is the height of the tower if A is 40 m from its base as shown in the figure?
C
B 40 m A
11. The median of the given data with the observations in ascending order is 27.5. Find the
value of x.
24, 25 , 26, x+2, x+3, 30, 33, 37
12. If a line segment AB is to be divided in the ratio 5:8 internally, we draw a ray AX such
that ∠BAX is an acute angle. What will be the minimum number of points to be
located at equal distances on ray AX?
13. State the Pythagoras Theorem.
OR
If ∆ABC ∼ ∆ DEF and ∠A= 450
, ∠C = 550
, then find ∠E.
14. A bag contains 6 red balls and 5 blue balls. One ball is drawn at random. What is the
probability of getting a blue ball?
OR
A die is thrown once. What is the probability of getting an odd number?
15. If sin ɵ =
, then find cos ɵ.
16. A pendulum swings through an angle of 300
and describes an arc 17.6 cm in length.
Find the length of pendulum.
OR
Find the area of a sector of a circle with the radius 6 cm if angle of the sector is 600
.
Section – II
Question number 17-20 are case-study based questions. Attempt any 4 sub parts
from each question. Each sub part carries 1 mark.
17.
(i)
Raman is stitching a kite shaped patch on the cushion cover. Few questions came to his
mind while stitching the patch. Give answers to his questions by looking at the figure.
Raman stitched the white thread at what angles to each other?
a) 30° b) 60° c) 90° d) 60°
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this is your exam paper so no helping
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