# Question #3a151

##### 2 Answers

Use

#### Explanation:

Alright. First we draw a diagram. I have labelled the points of the triangle

We know that in the first diagram,

We know that in the second diagram,

Using the trig ratio

I can say in both diagrams,

In the first diagram,

In the second diagram,

Now, we can see that the change in height is just:

As to where the values came from, there's a table for it.

If you are up to a challenge, you can try deriving where the exact values of the trig functions came from.

so,

=>

When the ladder makes an angle of 45 degrees we have:

i.e.

=>

Hence, distance of slip is:

i.e.

:)>