A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.

The height of the roof is 25 ft.

Step-by-step explanation:

Consider the right angled triangle BCD.

Determine the measure of side BD using the Pythagoras theorem

Compute the measure of angle x as follows:

Now consider the triangle ABD.

The hypotenuse AD is the height of the roof.

Determine the measure of side AD as follows:

Thus, the height of the roof is 25 ft.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80