24. a flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. the front wall is
11.5 feet tall and the back wall is 20.2 feet tall. find the length of the roof line and the depth of the shed from front to back. round vour answers to the nearest tenth of a foot.

show work
will mark branliest

17.4 ft

Step-by-step explanation:

Given: Height of front wall is 11.5 ft

           Height of back wall is 20.2 ft

Attach is the picture drawn for the question.

First lets find the depth of shed from from front to back wall.

Depth of shed from front to back wall= length of back wall - length of front wall.

∴ Depth of shed from front to back wall=

Now, using sine rule of trignometry to find length of roof line.

We know,

⇒

⇒

Cross multiplying

⇒

∴ Hypontenous= 17.4 feet

Hence, length of roof line is 17.4 ft.