Скачать или смотреть CLASS 10 CASE STUDY CODE 430/1/1 MATHS BASIC|CBSE BOARD 2025

CLASS 10 CASE STUDY CODE 430/1/1 MATHS BASIC|CBSE BOARD 2025

CLASS 10
MATHS BASIC PAPER 2025
Q.P. CODE 430/1/1
Set1
CASE STUDY SOLUTION

1.An injured bird was found on the roof of a building. The building is 15 m high. A fireman was called to rescue the bird. The fireman used an adjustable ladder to reach the roof. He placed the ladder in such a way that the ladder makes an angle of 60 with the ground in order to reach
Based on the above information, answer the following questions :
(i) Find the length of the ladder used by the fireman to reach the roof.
(ii) Find the distance of the point on the ground at which the ladder
was fixed from the bottom of the building.
(iii) In order to avoid skidding, the fireman placed the ladder in such a way that the bottom of the ladder touches the base of the wall which is opposite to the building, making an angle of 30 with the
ground.
(a) Draw a neat diagram to represent the above situation and hence find the width of the road between the building and the wall.
OR
(b) Find the length of the ladder used by the fireman in this case.

2. In a garden, saplings of rose flowers were planted at equal intervals to form a spiral pattern. The spiral is made up of successive semicircles,with centres alternatively at A and B, starting with centre at A, of radii
50 cm, 100 cm, 150 cm, ....... as shown in the figure given below. Spiral 1 has 10 flowers, Spiral 2 has 20 flowers, Spiral 3 has 30 flowers and so on.
Based on the above information, answer the following questions :
(i) What is the radius of the 13th spiral ?
(ii) If the radius of the nth spiral is 500 cm, find the value of n.
(iii) (a) Find the total number of saplings till the 11th spiral.
OR
(b) Till which spiral, will there be a total of 450 saplings ?

3. In a society, there is a circular park having two gates. The gates are
placed at points A(10, 20) and B(50, 50), as shown in the figure below.
Two fountains are installed at points P and Q on AB such that
AP = PQ = QB.
Based on the above information, answer the following questions :
(i) Find the coordinates of the centre C.
(ii) Find the radius of the circular park.
(iii) (a) Find the coordinates of the point P.
OR
(b) Find the distance of the fountain at Q from gate A.

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