Question

A ladder of 6m rests with it's foot on a horizontal ground and leans against a vertical wall. The imclination of the ladder to the horizontal is 80 degree.Find correct to 1d.P. (a) The distance of the foot of the ladder from the wall (b) The height above the ground at which the upper end of the ladder touches the wall.

Answer 1

a) 1.0m

b) 5.9m

Explanation:

(a) The distance of the foot of the ladder from the wall

cos∅ = adj/hyp

cos80 = adj/6

multiply both sides by 6

6 * cos 80 = adj

1.041889066001582 = adj

to 1 dp

1.0m

-------------------------------

(b) The height above the ground at which the upper end of the ladder touches the wall

sin∅ = opp/hyp

sin80 = opp/6

6 * sin80 = opp

5.908846518073248 = opp

To 1 dp

5.9m

Answer 2

164m I think but I’m not certain