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?
Igor’s Bat
50 ft
55◦
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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?
Ship to Lighthouse
42 meters
33◦
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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?
Ship to Lighthouse
21◦
55 meters
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• 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?
Ertha Diggs
37◦
1.5 meters
130 meters
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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.
Leaning Tower
55 meters
4.8 meters