3.++Process

First, lets take a look at the construction of a tangent line to a circle. This construction uses the following theorem:  [|If a line is perpendicular to a radius of a circle at a point on the circle, then the line is tangent to the circle.] Get a compass and straight edge ( ruler ) and try the construction yourself. Connect S to O and you will have the magic right triangle we need to use the Pythagorean Theorem!

Here is a little more research and a few practice problems involving the tangent to a circle and the Pythagorean Theorem. Work the problems on paper, then click to check your answers.

Watch this videoto see exactly how the tangent line and the Pythagorean Theorem will be used to complete your task. Be sure to take notes. Pay special attention to the part where feet are changed to miles.

What is the raduis of the earth? Use the same raduis to complete your problem.

Now you are ready to complete the task! Go to the Cleveland Skyscrapers website and choose your three skyscrapers, then figure out the different distances to the horizon.

Be sure your report includes the name of each building, a sketch, and all the work. Go to the Evaluation