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51.
A 10 m long ladder is placed against a wall. It is inclined at an angle of 30° at the ground. The distance (in m) of the foot of the ladder from the wall is $left parenthesis Given space square root of 3 space equals space 1.732 right parenthesis$

7.32

8.66

8.16

8.26

8.66

Let the distance of the ladder from the wall be x m.
Here, AC (ladder) = 10 m
Now,
$cos space 30 degree space equals space straight B over straight H space equals space straight x over 10 straight x space equals space 10 space cos space 30 degree space equals space 10 space cross times space fraction numerator square root of 3 over denominator 2 end fraction space equals space 5 square root of 3 space equals space 5 space cross times space 1.732 space equals space 8.66 space straight m$

52.

A ship after sailing 12 km towards South from a particular place covered 5 km more towards East. Then, the straightway distance of the ship from that place is