On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
Answers
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
To learn more about trigonometric ratios visit:
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Step-by-step explanation:
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_________
[tex] \: [/tex]
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Answer:
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d | > 3
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Answers
4x-2y=-24
——————
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——————-
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——————-
-23y=0
y=0
——————-
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3x=-18
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——————-
COORDINATES: (-6, 0)
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Answers
Answer:
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Hey there!
x + 2x - 5 + 6 = 0
1x + 2x - 5 + 6 = 0
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Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
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Anthony
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Week (x)
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0
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50
0
1
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70
1
2
2
3
3
3
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Anthony Ciara
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o
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Answer:
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