If 30% of his collection is 12 cars, then we can use the fraction
30/12=100/x
x=40
Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:

Plug in known values:

Rearrange to isolate the variable:

Simplify!

Round to the nearest foot:

Answer: D) vertical angles theorem, alternate interior angles theorem
Angle 5 = Angle 6 by the alternate interior angles theorem
Angle 5 = angle 4 by the vertical angles theorem
By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.
We won't use the angle addition theorem or the right angles theorem.
Easy,
the Pythagorean theorem is:

The a and b, being a value that you HAVE
and
c, being the value you are trying to find.
Example: have 1,2 for a triangle what is the third side?

1+4=

5=

Then, just square root to find c.

=c
2.2≈c