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RRB NTPC Mains or Stage 2 Model Paper 5 with solutions
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© examsnet.com
Question : 14
Total: 120
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
=
A
E
2
+
A
B
2
⇒
A
B
2
=
17
2
–
8
2
or
A
B
2
=
289
–
64
=
225
⇒
A
B
AB = 15 ft
In ΔBCD,
B
D
2
=
B
C
2
+
C
D
2
⇒
B
C
2
=
172
–
152
=
289
–
225
=
64
⇒ BC = 8 ft
∴Width of the street = AB + BC = 15 + 8 = 23 ft
© examsnet.com
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