CBSE Class 10 Maths (Basic) 2025 · Paper 430/1/1 · Question 36
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 with the ground in order to reach the roof. Based on the above information, answer the following questions :
- iFind the length of the ladder used by the fireman to reach the roof.[1]
- iiFind the distance of the point on the ground at which the ladder was fixed from the bottom of the building.[1]
- iii (a)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 with the ground. Draw a neat diagram to represent the above situation and hence find the width of the road between the building and the wall.[2]
- iii (b)Find the length of the ladder used by the fireman in this case.[2]
Answer
(i) The ladder is m m long; (ii) The foot of the ladder is m m from the bottom of the building; (iii)(a) The road is m m wide; (iii)(b) The ladder is m long.
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