Download 7.6 depression and elevation_blank_lesson

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Date: _______________________
SWBAT determine the point of reference to decide if they have elevation or depression. DRAW
PICTURES… it helps!
If another building is to be constructed to the West of the two existing buildings with the same distance
between it as the other two buildings, but needs to have an angle of elevation from the 320 foot
building to be 32 degrees, how tall will the new building have to be?
Moskovitz
Geometry A
Name: _________________________________________
Moskovitz
Date: _______________________
Geometry A
Name: _________________________________________
Date: _______________________
LADDER You lean a 20 foot ladder against the wall. If the regulations say that the ladder must make at
least an 80 degree angle with the ground. How high up the wall can you reach? How far away from the
wall would you have to place the ladder?
Draw a picture (if one is not provided for you) and solve the World Problem. Round to the nearest
hundredth when not specified!
A mountaineer is 6 feet 4 inches tall and is 54 feet away from the base of a mountain that he wants to
climb a mountain. He looks up to the top of the mountain at an angle of elevation of 64 degree. From
the mountaineers eyes, find the height of the mountain.
Moskovitz
Geometry A
Name: _________________________________________
Date: _______________________
An airplane is at an altitude of 2714 feet and starts to descend at an angle of depression of 3 degrees.
How far away is the airplane from the airport?
A treasure hunting expedition is on a ship in the South Pacific. The ship is 789 feet away from a sunken
treasure on the bottom of the ocean. From the bow of the boat, the treasure is at an angle of
depression of 63.5 degrees. If the ship sits 15 feet above the water line, how deep in the ocean is the
treasure?
A wizard uses his telescope to sight the top of his tower at an angle of elevation of 29 degrees. The
telescope is 3.5 feet off the ground and is 120 feet away from the tower. How high is the tower?
A girl 2 meter tall girl stands 8 meters away from the school flag pole. She measures the angle of
elevation from her eyes to the top of the flagpole to be 45 degrees. How tall is the flagpole?
Moskovitz
Geometry A
Name: _________________________________________
Date: _______________________
Mr. Squirrel is perched at the top of a pine tree. He is throwing pinecones down from the tree at
Maggie (my dog) who always chases him. The pinecones are being thrown at an angle of depression of
30 degrees. If the pinecones travel 32 feet to hit Maggie on the head, how far away is she from the
tree (X)? How tall is the tree?
If Maggie turns to run away from the assault and the angle of depression of the pinecones
changes to 9 degrees, how much further away is Maggie from the tree?
How far away from the tree does Maggie have to get if she doesn’t want Mr. Squirrel to hit her
with pinecones anymore?
A ship is 125 feet off shore. The angle of elevation to the top of a lighthouse on the shore is 47 degrees.
If the lighthouse sits on a 100 foot rock base above sea level to protect it from the huge waves in the
ocean, how tall is the lighthouse without the base?
Moskovitz
Geometry A
Name: _________________________________________
Date: _______________________
Two buildings are shown. There is a window located at point U on building Q. Assuming that the
buildings are perpendicular to the ground and parallel to each other, how high up is the window at point
U? How tall is building Q? How tall is building P?
In the diagram below, my husband and I are flying in N1838Q located at point P, cruising at an altitude
of 10km. We begin our descend to land at QDXR (Danbury County Airport), denoted by point C, using an
angle of depression of 10°.
a) Find the horizontal distance between the airplane and QDXR when the airplane begins its landing,
round to the nearest thousandths.
b) Find the total distance covered by the plane as it descends to touchdown (distance CP), round to the
nearest thousandths.
c) If N1838Q is a Cessna 210 and the required descending speed is 85mph, how long will it take for my
husband to land the plane?
Moskovitz
Geometry A