1.
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot.
A.
10.4 ft
B.
235.2 ft
C.
48.9 ft
D.
10.6 ft
Hint
2.
Katie measures the angle of elevation from the ground to the top of an 18-foot-tall tree as 27°. To the nearest tenth of a foot, how far is she from the tree?
A.
35.3 ft
B.
20.2 ft
C.
39.6 ft
D.
9.2 ft
Hint
3.
Caving
While surveying Overlook Cave, Mike measures the angle of elevation from his line of sight to the top of a rock formation as 22°. The rock formation is 10 feet away and he is measuring from a point 3 feet above the floor of the cave. To the nearest tenth of a foot, how high is the rock formation?
A.
24.8 ft
B.
27.8 ft
C.
4.0 ft
D.
7.0 ft
Hint
4.
Raini is standing on a 40-foot cliff overlooking a river. The angle of depression to the near side of the river is 64°, and the angle of depression to the far side is 35°. How wide is the river, to the nearest tenth of a foot?
A.
13 feet
B.
226.9 feet
C.
37.6 feet
D.
1.4 feet
Hint
5.
ARCHITECTURE The observation deck of the John Hancock Center is 1030 feet above the ground. The Skydeck of the Sears Tower is 1335 feet above the ground. The John Hancock Center is 1.7 miles from the Sears Tower. What is the angle of elevation of someone standing on the observation deck of the John Hancock Center looking up to the Skydeck of the Sears Tower?
A.
1.9°
B.
6.5°
C.
37.7°
D.
8.5°
Hint