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Angle of Elevation and Depression

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

Maria is 50 feet from the tallest totem pole. If Maria's eyes are 5 feet from the ground, find the angle of elevation from her line of sight to the top of the totem.

a)

5050  

b)

6°6\degree  

c)

84°84\degree  

d)

0.2°0.2\degree  

2.

Terry is flying a kite. He has let out 55 feet of string. If the string makes 35 degree angle with the ground, how high above the ground is the kite?

a)

51.3 ft

b)

38.5 ft

c)

31.5 ft

d)

45.1 ft

3.

A ski slope is 550 yards long with a vertical drop of 130 yards. Find the angle of depression of the slope.

a)

13.7°13.7\degree  

b)

76.3°76.3\degree  

c)

13.2°13.2\degree  

d)

4.2°4.2\degree  

4.

A golfer is standing on a tree with the green in a valley below. If the tree is 43 yards higher than the green and the angle of depression from the tree to the hole is 14 degrees, find the distance from the green to the hole?

a)

177.7 yards

b)

44.3 degrees

c)

44.3 yards

d)

172.5 yards.

5.

A trolley car track rises vertically 40 feet over a horizontal distance of 630 feet. What is the angle of elevation of the track?

a)

36°36\degree  

b)

3.6°3.6\degree  

c)

86°86\degree  

d)

68°68\degree  

6.
a)

x= 3, y=2

b)

x=2, y=3

c)

x=4, y =9

d)

x=3, y=4

7.
a)

2.5

b)

25

c)

54

d)

135

8.

What should be the reasons on #'s 2 & 3?

a)
  1. 2. Vertical Angles

  2. 3. Opposite angles of a parallelogram are congruent.

b)
  1. 2. Def. of Congruent Angles

  2. 3. Opposite angles of a parallelogram are congruent.

c)

2.Alternate Interior Angles

3.Consecutive interior angles of a parallelogram are supplementary.

d)
  1. 2. Def. of Congruent Angles

  2. 3.Consecutive interior angles of a parallelogram are congruent.

9.

For quadrilateral MGKB, which of the following would not be sufficient information to prove that it is a parallelogram?

a)

GK | MB, GM || KB

b)

GK || MB,

GK \cong MB

c)

GK || MB,

GM \cong KB

d)

GK || MB,

GK \cong GM

10.
a)

Def. of a parallelogram,

The diagonals of a parallelogram bisect each other, CPCTC

b)

Opposite sides of a parallelogram are congruent, SAS, CPCTC

c)

Opposite angles of parallelogram are congruent, The diagonals of a parallelogram bisect each other, CPCTC

d)

Def. of a parallelogram, CPCTC, SSS