Given:
Tower Chosen "Leaning tower of Pisa"
Vertical lenght from the ground = 57 meters.
Angle formed by the tower and ground = 86 degree.
2. Your keys drop from the top of the tower and fall straight to the ground. You want to know how far from the base of the tower the keys landed. Draw a right triangle that will help you solve the problem.
Label each triangle with the information you know.
3. Using the know angle, what side is known? What side is unknown? Use opposite, adjacent, or hypotneuse in your answer.
Known side: ________
Unknown side: _________
4. what trignometric ratio would you use to find the distance from the base of the tower to your keys? Identify your choice, and then calculate the distance.
Trignometric ratio(name): __________
Calculation (show your work):
5. While you are at the top of the tower, you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trignometric ratio would you use to find this distance? Use the ratio to find the measurement.
6. Confirm that your answer to question 5 is correct using the pythagorean theorm instead of trignometric ratios.
The leaning tower of niles
7. The Leaning Tower of Niles, in illinois, is a replica of the famous leaning tower of pisa. It was completed in 1934. The tower of niles is 94 feet high and makes an angle of 85.5 degrees from the ground to the top of the tower. If you drop your key from the top of this tower, how far from the base of the tower would they land?
