1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of elevation from the ground to the top of the building is 62°, how taltis the building?
1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of elevation from the ground to the top of the building is 62°, how taltis the building?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
![Datt Puna
Use the given information to solve the problem. Round all answers to the nearest
whole number.
Hint: draw an image to help with set-up.
1) Charlie is standing 250 feet from the base of a tall building. If he determines that
the angle of elevation from the ground to the top of the building is 62°, how talt is the
building?
2) An airplane is flying at a height of 2000 feet above sea level. If the pilot spots an
island in the distance with an angle of depression of 12°, how far is the island from a
point directly under the plane?
3) A tower casts a shadow that is 134 feet long when the angle of elevation to the sun
is 55°. How tall is the tower?
4) In a bank, a security camera is placed 10 feet high on a wall that is 45 feet from the
front door. What angle of depression is needed so the camera aims for a point at the
base of the front door?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20047395-754f-4b4f-b55f-051358973abe%2Fc64ceb54-1e0d-4c38-a6bb-9a5c938feb2e%2Fzmzym4f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Datt Puna
Use the given information to solve the problem. Round all answers to the nearest
whole number.
Hint: draw an image to help with set-up.
1) Charlie is standing 250 feet from the base of a tall building. If he determines that
the angle of elevation from the ground to the top of the building is 62°, how talt is the
building?
2) An airplane is flying at a height of 2000 feet above sea level. If the pilot spots an
island in the distance with an angle of depression of 12°, how far is the island from a
point directly under the plane?
3) A tower casts a shadow that is 134 feet long when the angle of elevation to the sun
is 55°. How tall is the tower?
4) In a bank, a security camera is placed 10 feet high on a wall that is 45 feet from the
front door. What angle of depression is needed so the camera aims for a point at the
base of the front door?
![5) A 12 foot ladder is leaning against the side of a building. If the bottom of the ladder
is 5 feet from the building, what angle does the ladder make with the ground?
6) Two boats, 1500 feet apart, are sailing on a lake. A helicopter flying directly over
one of the boats sights the other boat with an angle of depression of 31°. How high is
the helicopter?
7) Lauren is standing on a cliff that is 2500 feet away from her camp site. If she
determines that the angle of depression from the top of the cliff to her camp site
is 28°, how tall is the cliff?
8) A 15 foot tall flag pole casts a shadow that is 27 feet long. What is the angle of
elevation to the sun?
9) Two 50 foot tall radio towers are 3000 feet apart. Find the angle of depression from
the top of one tower to the base of the other.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20047395-754f-4b4f-b55f-051358973abe%2Fc64ceb54-1e0d-4c38-a6bb-9a5c938feb2e%2Fylxxewo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5) A 12 foot ladder is leaning against the side of a building. If the bottom of the ladder
is 5 feet from the building, what angle does the ladder make with the ground?
6) Two boats, 1500 feet apart, are sailing on a lake. A helicopter flying directly over
one of the boats sights the other boat with an angle of depression of 31°. How high is
the helicopter?
7) Lauren is standing on a cliff that is 2500 feet away from her camp site. If she
determines that the angle of depression from the top of the cliff to her camp site
is 28°, how tall is the cliff?
8) A 15 foot tall flag pole casts a shadow that is 27 feet long. What is the angle of
elevation to the sun?
9) Two 50 foot tall radio towers are 3000 feet apart. Find the angle of depression from
the top of one tower to the base of the other.
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