Login/RegisterQuantitative Aptitude :: Height and Distance - Discussion
Home > Quantitative Aptitude > Height and Distance > MCQs Questions Discussion
423 / 17
Choose the correct option.
If a ladder is 100 m long and distance between bottom of ladder and wall is 60 m. What is the maximum size of cube that can be placed between the ladder and wall.
A34.28
B24.28
C21.42
D28.56
Answer: Option (Login/Signup)
Show Explanation
Asked In ::
STEP-BY-STEP
I think length of ladder should be 100m.
if we put ladder length 100m, then
by Pythagoras theorem
AB^2 = AC^2+CB^2
=> 100^2 = 60^ + AC^2
=> AC = 80 M
By triangle properties
Lets assume angle between <abc is y
so tan (y) = 80/60 = 8/6 -----------(1)
After putting x length cube .
the angle formed is also same i.e y
so tan (y) = (80-x)/x ---------- (2)
By eq (1) & (2)
(80-x)/x = 8/6
480 - 6x = 8x
=> 14x = 480
=> 7x = 240 => x = 240/7
x = 34.28 M
Read Full Answer
Report Error
Please Login First Click Here
STEP-BY-STEP
How did 8/6=tan(y) and x/6*10-x=tan(y) come?
Read Full Answer
Report Error
Please Login First Click Here
