In the diagram below, bc is an altitude of abd. to the nearest whole unit, what is the length of cd?

We will start with the triangle ABCm with AC = 44 and BC = 32

We work out the angle BAC, labelled as x° in the diagram shown below

Using the trigonometry ratio, we have




° (rounded to the nearest integer)

Then we work out the size of angle y°, shown in the diagram below. 

By using the angles in a triangle rule, we have
y°=180°-(90°+36°)= 54°

Then we use this information to work out the length of CD




(to the nearest integer)

Where are the