Sketch a picture for each problem. Show all of your work.

1. Sketch a picture for each problem. Show all of your work. • Igor’s pet bat Natasha is flying at the end of a 50-foot leash. Using the angle measuring device, Igor spots Natasha at an angle of 55 degrees up from the horizontal. To the nearest foot, how high is Natasha flying if the leash is taut and anchored to the ground?

2. Igor’s Bat 50 ft 55◦

3. Sketch a picture for each problem. Show all of your work. • The angle of elevation from a ship to the top of a 42 meter lighthouse on the shore is 33 degrees. How far is the ship from the shore to the nearest meter?

4. Ship to Lighthouse 42 meters 33◦

5. Sketch a picture for each problem. Show all of your work. • A light house 55, meters above sea level spots a distress signal from a sailboat. The angle of depression to the sailboat is 21 degrees. How far away is the sailboat from the base of the lighthouse to the nearest meter?

6. Ship to Lighthouse 21◦ 55 meters

7. Sketch a picture for each problem. Show all of your work. • Archaeologist Ertha Diggs is using an angle measuring device to determine the height of an ancient temple. When she views the top of the remains of the ancient temple through her angle measuring device, she records an angle of elevation of 37 degrees. She is standing 130 meters from the center of the temples base and her eye is 1.5 meters above the ground. How tall is the temple to the nearest tenth of a meter?

8. Ertha Diggs 37◦ 1.5 meters 130 meters

9. Sketch a picture for each problem. Show all of your work. It is believed that Galileo used the “Leaning Tower of Pisa” to conduct his experiments on the laws of gravity. When he dropped objects from the top of the 55 meter tower (length of the tower, not height) they landed 4.8 meters from the base of the tower. To the nearest degree, what is the angle that the tower leans off from the vertical.

10. Leaning Tower 55 meters 4.8 meters