Let's begin with recalling the 30^(∘)-60^(∘)-90^(∘) Triangle Theorem. This theorem tells us that the length of the hypotenuse of this right triangle is 2 times the length of the shorter leg s, and the length of the longer leg is sqrt(3) times the length of the shorter leg.
Now let's look at the given picture.
As we can see, △ ADF is a 30^(∘)-60^(∘)-90^(∘) triangle. Therefore, the length of the hypotenuse of this triangle, AD, is 2 times the length of of its shorter leg, AF. We know that AF is the shorter leg because it is opposite the smaller angle.
AD= 2AF
AD= 2(25)=50
We found that the zip line's length, AD, is 50 feet.
