Datt PunaUse the given information to solve the problem. Round all answers to the nearestwhole 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 thatthe angle of elevation from the ground to the top of the building is 62°, how talt is thebuilding?2) An airplane is flying at a height of 2000 feet above sea level. If the pilot spots anisland in the distance with an angle of depression of 12°, how far is the island from apoint directly under the plane?3) A tower casts a shadow that is 134 feet long when the angle of elevation to the sunis 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 thefront door. What angle of depression is needed so the camera aims for a point at thebase of the front door? 5) A 12 foot ladder is leaning against the side of a building. If the bottom of the ladderis 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 overone of the boats sights the other boat with an angle of depression of 31°. How high isthe helicopter?7) Lauren is standing on a cliff that is 2500 feet away from her camp site. If shedetermines that the angle of depression from the top of the cliff to her camp siteis 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 ofelevation to the sun?9) Two 50 foot tall radio towers are 3000 feet apart. Find the angle of depression fromthe top of one tower to the base of the other.

Answered: Image /qna-images/answer/c64ceb54-1e0d-4c38-a6bb-9a5c938feb2e.jpg

Answered: 1) Charlie is standing 250 feet from…

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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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?

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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