A ladder 18 m long rests against a wall so that so that the angle between the ladder and the wall is 30°. How far (in m) is the base of the ladder from the wall?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 9
A ladder 18 m long rests against a wall so that the angle between the ladder and the wall is 30°.
Let AB be the height of the wall AC be the length of the ladder and BC be the base distance of the ladder from the wall.
In ΔABC -
Sin30° = BC/AC
1/2 = BC/18
2BC = 18
BC = 9
So, base distance = 9 m