CBSE Guess > Papers > Question Papers > Class X > 2009 > Mathematics > Mathematics

SECTION D

Questions number 26 to 30 carry 6 marks each.

Q. 26. The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Sol. Let shorter side, AB = x m then Diagonal, AC = (x + 60) m and longer side,
BC = (x + 30) m In rt. Δ ABC,

Q. 27. A boy, who’s eye level is 1.3 m from the ground, spots a balloon moving with the wind in a horizontal line at some height from the ground. The angle of elevation of the balloon from the eyes of the boy at any instant is 60°. After 2 seconds, the angle of elevation reduces to 30°. If the speed of wind at that moment is 29 3 m/s, then find the height of the balloon from the ground.

Sol. Let AP be the boy, C and E are two positions
of the balloon. Speed of wind
Distance travelled by the balloon in 2 seconds,
CE = BD =
Let AB = x m and BC = DE = y m

Mathematics 2009 Question Papers Class X
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	Set 1 (PDF)		Set 1 (PDF)		Set 1		Set 1		Set 1 (PDF)
					Set 2		Set 2
					Set 3		Set 3