CBSE Class 10 Maths (Standard) 2025 · Paper 30/5/1 · Question 38
Passenger boarding stairs, sometimes referred to as boarding ramps, stair cars or aircraft steps, provide a mobile means to travel between the aircraft doors and the ground. Larger aircraft have door sills 5 to 20 feet (1 foot = 30 cm) high. Stairs facilitate safe boarding and de-boarding. An aircraft has a door sill at a height of 15 feet above the ground. A stair car is placed at a horizontal distance of 15 feet from the plane. Based on given information, answer the questions given in part
- (i)and
- (ii). Further, answer any one of the following questions:
- (i)Find the angle at which stairs are inclined to reach the door sill 15 feet high above the ground.[1]
- (ii)Find the length of stairs used to reach the door sill.[1]
- (iii) (a)If the 20 feet long stairs is inclined at an angle of 60° to reach the door sill, then find the height of the door sill above the ground. (use sqrt 3 = 1.732)[2]
- (iii) (b)OR — What should be the shortest possible length of stairs to reach the door sill of the plane 20 feet above the ground, if the angle of elevation cannot exceed 30°? Also, find the horizontal distance of base of stair car from the plane.[2]
Answer
(i) The stairs are inclined at to the ground; (ii) The stairs are ft, about ft, long; (iii)(a) The door sill is ft above the ground; (iii)(b) The shortest stairs are ft long, with their base ft, about ft, from the plane.
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