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.

Answer 1

sin 37 = 5/L
so
L = 5/sin 37

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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

Answer 2

Diagram