When one end of a ladder,LM,is placed against a vertical wall at a point 5m above the ground,the ladder makes an angle of 37° with the horizontal ground.

Question

When one end of a ladder,LM,is placed against a vertical wall at a point 5m above the ground,the ladder makes an angle of 37° with the horizontal ground.
1. Represent the information in a diagram
2. Calculate, correct to 3 significant figure,the length of the ladder.
3. If the foot of the ladder is pushed torwards the wall by 2m , calculate,correct to the nearest degree,the angle which the ladder now makes with the ground.

Damon · Answer

sin 37 = 5/L so L = 5/sin 37 ================== d = original distance along floor from wall cos 37 = d/L solve for d new distance from wall = (d-2) cos Angle = (d-2)/L solve for angle

Thomas · Answer

Diagram