Question

what angle will a 5m ladder make with a wall if it reaches 4.2m up the wall?

Answer 1

Lets the wall as opposite side of the angle made.

The 5m ladder as hypotenuse.

So, sine theta = 4.2/5

theta = sine^-1 (4.2/5) = 53.18 degrees.

-WonderGirl

Answer 2

The angle made will the wall:

• Length of the ladder = 5 m (hypotenuse)
• Height at which the ladder reaches the wall = 4.2 m
• Thus we have to find angle made with the wall:

                 Let the angle be A, therefore;

                                   cosA = adjacent / hypotenuse

                                    cosA = 4.2 / 5

                                     cosA = 0.84 = 34.9 degrees

Therefore angle, A = cos^(-1) 0.84 = 34.9 degrees.