the height of the tower so he can plan properly. The knight sits on his horse 500 feet away from the castle. He uses his handy protractor to find the measure of the angle at which he looks up to see the princess in the tower, which is 15°. Sitting on the horse, the knight's eye level is 8 feet above the ground. What is the height of the tower?

But this is only the height of the triangle and not the height of the tower. We need to add 8 ft to account for the height between the ground and the knight's eye-level which served as the base of the triangle.

simplifying gives us

The tower is approximately 142 feet tall.

Example 2: Using Law of Sines

A man stands 100 feetand the cliff be denoted by .

By the law of sines,

Clear the fractions to get,

Compute the sines of the angle to give us

Simplify for

YOU CAN'T SEE THIS!

OOOOOOOOOOOOOOOOOOOOOHHH

SPOOOOOKY!

For the white-sailed ship,

Let the distance between this ship and the cliff be denoted by .

By the law of sines,

Clear the fractions to get,

Compute the sines of the angle to give us

Simplify for

Multiply and round for

The distance between the two ships, , is the positive difference between the lengths of the bases of the triangle.

The ships are about 73 feet apart from one another.

Example 3: Using Multiple Methods

At the park one afternoon, a tree casts a shadow on the lawn. A man stands at the edge of the shadow and wants to know the angle at which the sun shines down on