RRB NTPC Mains or Stage 2 Model Paper 5 with solutions

Question : 14 of 120

Marks: +1, -0

A ladder of 17 ft length reaches a window which is 15 ft above the ground on one side of the street. Keeping its foot at the same point the ladder is turned to the other side of the street and now it reaches a window 8 ft high. What is the width of the street?

23 ft
15 ft
25 ft
30 ft

Validate

Solution:

In ΔABE,
B

E^2 = AE^2 + AB^2 ⇒ AB^2 = 17^2 –8^2

AB^2 = 289 – 64 = 225 ⇒ AB

AB = 15 ft
In ΔBCD,

BD^2 = BC^2 + CD^2 ⇒ BC^2 = 172 – 152

= 289 – 225 = 64

⇒ BC = 8 ft
∴Width of the street = AB + BC = 15 + 8 = 23 ft

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