Geometry – Angles of Elevation and Depression Worksheet



Geometry – Angles of Elevation and Depression Worksheet

Round all lengths to the nearest hundredth and all angle measures to the nearest degree.

1) When the sun’s angle of elevation is 55(, a building casts a shadow 43 m long. How tall is the building?

Tan 55 = x/43

X = 61.41 m

2) At a certain time, a vertical pole 2 m tall casts a shadow that is 5 m long. What is the angle of elevation of the sun?

Tan-1 x = 2/5

X = 22 degrees

3) A camera crew on the ground is recording the act of a performer walking a tightrope stretched between two buildings. A member of the camera crew who is 1.8 m tall is almost directly below one end of the tightrope. When the performer steps out onto the other end of the tightrope, the angle of elevation is 75(. If the buildings are 30 m apart, how many meters above the ground is the performer?

Tan 75 = x / 30

X = 111.96152

+ 1.8

113.76 m

4) A person at one end of a 230 foot bridge spots the river’s edge directly below the opposite end of the bridge and finds the angle of depression to be 57(. How far below the bridge is the river?

Tan 57 = x/230

X = 354.17 ft

5) An escalator from the ground floor to the second floor of a department store is 110 ft long and rises 32 ft vertically. What angle does the escalator make with the ground floor?

Sin-1 x = 32/110

X = 17°

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75(

1.8 m

30 m

water

230 ft

32 ft

110 ft

43 m

55(

shore

57°

57°

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