5) A restaurant wants to build a wheelchair ramp for its customers. The angle of elevation for a ramp is recommended to be 5°. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up (x)? How long will the ramp be (y)? 2 ft. 5°

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Draw and label a diagram for each scenario.
5) A restaurant wants to build a wheelchair ramp
for its customers. The angle of elevation for a ramp | California. If you're standing on a trail 220 ft. from
is recommended to be 5°. If the vertical distance
from the sidewalk to the front door is two feet, what angle to see the top. How tall is the tree?
is the horizontal distance that the ramp will take up
6) The tallest tree in the world is a redwood in
the bottom of the tree, you have to look up at a 60°
(x)? How long will the ramp be (y)?
2 ft.
X
7) Charlie lets out 90 ft of kite string. Charlie is
holding the string 4 ft above the ground. If the
angle of elevation of the string is 70°,
approximately how high is the kite?
8) A ramp makes a 20° angle with the ground. If
the door the ramp leads to is 2 ft above the ground,
how long is the ramp?
9) A ship's sonar spots a wreckage at an angle of
depression of 32°. If the depth of the ocean is
10) A zip line takes passengers on a 200 m ride
from high up in the trees to a ground level platform.
If the angle of elevation of the zipline is 10°, how
high above ground is the tree top start platform?
about 250 ft, how far is the wreckage from the
ship?
11) Layne spots a sailboat from her fifth floor
12) The angle of depression from the top of an
apartment building to the base of a fountain in a
nearby park is 57°. If the building is 150 ft tall, how
balcony, about 25 m above the beach, at an angle
of depression of 3°. How far out is the boat?
far away is the fountain from the front door of the
building?
Transcribed Image Text:Draw and label a diagram for each scenario. 5) A restaurant wants to build a wheelchair ramp for its customers. The angle of elevation for a ramp | California. If you're standing on a trail 220 ft. from is recommended to be 5°. If the vertical distance from the sidewalk to the front door is two feet, what angle to see the top. How tall is the tree? is the horizontal distance that the ramp will take up 6) The tallest tree in the world is a redwood in the bottom of the tree, you have to look up at a 60° (x)? How long will the ramp be (y)? 2 ft. X 7) Charlie lets out 90 ft of kite string. Charlie is holding the string 4 ft above the ground. If the angle of elevation of the string is 70°, approximately how high is the kite? 8) A ramp makes a 20° angle with the ground. If the door the ramp leads to is 2 ft above the ground, how long is the ramp? 9) A ship's sonar spots a wreckage at an angle of depression of 32°. If the depth of the ocean is 10) A zip line takes passengers on a 200 m ride from high up in the trees to a ground level platform. If the angle of elevation of the zipline is 10°, how high above ground is the tree top start platform? about 250 ft, how far is the wreckage from the ship? 11) Layne spots a sailboat from her fifth floor 12) The angle of depression from the top of an apartment building to the base of a fountain in a nearby park is 57°. If the building is 150 ft tall, how balcony, about 25 m above the beach, at an angle of depression of 3°. How far out is the boat? far away is the fountain from the front door of the building?
In trig application problems, it is normal to talk about an angle of depression or angle of elevation.
Angle of Depression:
angle of depression
Angle of Elevation:
angle of elevation
1) Rachel spots a bird in a tree at an angle of
2) An airplane approaching an airport spots the
runway at an angle of depression of 25°. If the
airplane is 15,000 ft above the ground, how far
(ground distance) is the plane from the runway?
elevation of 30°. If Rachel is 20 ft from the base of
the tree, how high up in the tree is the bird?
bird
25
tree
15,000 ft
30
25
20 ft
ground distance
3) A 12 ft ladder is leaning against a house and
reaches 10 ft up the side of the house. To the
4) Elise is standing on top of a 50 foot building and
sees her friend, Molly. If Molly is 30 feet away from
the base of the building, what is the angle of
depression from Elise to Molly? Elise's eye height
is 4.5 feet.
nearest degree, what angle does the ladder make
with the ground?
a ) angle of
\ depression
12 ft
10 ft
50 ft.
30 ft.
Transcribed Image Text:In trig application problems, it is normal to talk about an angle of depression or angle of elevation. Angle of Depression: angle of depression Angle of Elevation: angle of elevation 1) Rachel spots a bird in a tree at an angle of 2) An airplane approaching an airport spots the runway at an angle of depression of 25°. If the airplane is 15,000 ft above the ground, how far (ground distance) is the plane from the runway? elevation of 30°. If Rachel is 20 ft from the base of the tree, how high up in the tree is the bird? bird 25 tree 15,000 ft 30 25 20 ft ground distance 3) A 12 ft ladder is leaning against a house and reaches 10 ft up the side of the house. To the 4) Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet. nearest degree, what angle does the ladder make with the ground? a ) angle of \ depression 12 ft 10 ft 50 ft. 30 ft.
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