when it is leaning against the wall, the foot of the ladder is 2m from the base of the wall. The angle between the ladder and the ground is 75 degrees.

Question

How high up the wall does the ladder reach, to the nearest centimeters?

How long is the ladder to the nearest centimeters?

If the ladder slips down the wall so that it makes an angle of 55 degrees with the ground, does the end on the ground slip more than the end against the wall? Explain?

Answer 1

Draw a figure to see that the distance from the ground to the top of the ladder is 2*tan 75 degrees.

The ladder is 2/sin 75 degrees.

Using the same technique, you should be able to answer the other question.