A ladder is leaning against a wall making an angle of 600 with the ground. Find the distance of the foot of the ladder from the wall if the other end is 14 m above the ground?

Asked by Topperlearning User | 2nd Nov, 2017, 10:02: AM

Expert Answer:

Let AB be the wall and BC be the ladder.

angle of elevation, ACB = 600
Then AB = 14 m and let AC = x m
 
begin mathsize 12px style AC over BC equals cos 60 degree
rightwards double arrow straight x over 14 equals 1 half
rightwards double arrow straight x space equals space 14 over 2 space
straight x space equals space 7 space straight m
end style
Distance of the foot of the ladder from the wall is 7 m.

Answered by  | 2nd Nov, 2017, 12:02: PM