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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Related Questions
Help with answer 10 please!!!
Answers
Answer:
b, d, e, f
Step-by-step explanation:
if there is direct variation then one variable equals the other by a constant
for example, y = 2x would indicate that every 'x' value is twice the 'y' value
therefore:
the line must be straight
pass through the point of origin
each point represents the same ratio
points are connected to form a straight line
help me im having trouble on slopes
Answers
Answer:
The slope-intercept form of an equation looks like this: y=mx+b
The m stands for the slope and the b stands for the y-intercept.
We need two points from the line to write out this equation.
For example (-2,0) and (1,2)
Now that we have the slope, we can plug it into our equation: y= 2/3x + b
To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)
Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3
Step-by-step explanation:
[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]
[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]
[tex]0=\frac{2}{3}(-2)+b[/tex]
[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]
Consider the line y=-1/2x+9 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Answers
Answer:
Parallel line slope = - 1/2
Perpendicular line slope = 2
Step-by-step explanation:
If x2 = 30. what is the value of x?
Answers
Answer:
5.4772255750516 that's if it is x squared
solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24
Answers
4x-2y=-24
——————
12x-28y=-72
12x-6y=-72
——————-
12x-28y=-72
-12x+6y=72
——————-
-23y=0
y=0
——————-
3x-0=-18
3x=-18
x=-6
——————-
COORDINATES: (-6, 0)
What is the standard form of function f?
f(x)=4(x+6)+5
Substitute numerical values into the equation for a, b, and c.
Answers
Answer:
A = 4; B = -1 ; C = -29
Step-by-step explanation:
y = 4(x + 6) + 5
y = 4x + 24 +5
y = 4x + 29
Standard form: Ax + By = C
4x - y = -29
Answer:
Step-by-step explanation:
Hope this Helps ;)
Which part of the water cycle would follow step D in the diagram shown?
A) Transpiration
B) Condensation
C) Evaporation
D) Precipitation
Answers
Answer:
A) Transpiration
Step-by-step explanation:
It is showing plants and trees losing water to the air.
Hope this helps!
v = u + wz, make z the subject
Answers
v - u = wz
v - u/w = z
Your answer is
z = v-u/w
Convert the speed of sound 767 miles per hour to meters per hour. [1000
meters = 0.62 miles]
Answers
783 per hour is the real deal answer
First one will be marked brainest GOOD LUCK!!!
Answers
Answer:
The 3rd one
Step-by-step explanation:
Answer:
the third option
Step by step explanation
PLease answer ASAP BRAINLEST!!1
Answers
Answer:
-7(2x-3y+.7)
Step-by-step explanation:
-14x+21y-4.9
Rewrite in terms of -7
-7 * 2x -7*-3y-7 *.7
Factor out -7
-7(2x-3y+.7)
What is the slope of the line passing through the points (6, 7) and (1, 5)?
Answers
Answer: it’s a fraction and it’s 2/5
Step-by-step explanation:
Can someone help me answer this question
Answers
Answer:15 should be on the x and add all together with the 69
Step-by-step explanation:
A beach volleyball court is 9 meters wide and 18 meters long. The rope used
for the boundary line costs $1.58 per meter. How much would it cost to buy a
new boundary line for the court?
Answers
Answer:
$85.32Step-by-step explanation:
The boundary is the perimeter of the rectangle of 9 m x 18 m:
P = 2(9 + 18) = 54 mCost of the boundary line:
54*$1.58 = $85.32what is the unit rate of 588 and 12
Answers
Answer:
49
Step-by-step explanation:
588 divided by 12 49
___ = -------
12 divided by 12 1
Hope this helped, click thanks if it did
hot pizza have a discount offering 20% discount on all its pizzas
the pizza is reduced to £5.60 what is the original price of the pizza?
Answers
1. Anthony and his sister, Ciara, are saving their money to buy $240 MP3 players. They each plan to buy their own player.
Anthony starts off with $50 in his bank account and adds $20 each week. Ciara starts off with $10 in her bank account and
adds $30 each week. Complete each of the tables below based on the information given. The first table has been started for
you.
Anthony
Ciara
Week (x)
Process
Total dollars
(y)
Week (x)
Process
Total dollars
(y)
0
50 + 20.0
50
0
1
50 + 20 1
70
1
2
2
3
3
3
4
4
5
5
8
00
8
10
10
Answers
Answer:
See below.
Step-by-step explanation:
Anthony Ciara
Week (x) Process Total dollars Week (x) Process Total dollars
(y) (y)
0 50+20•0 50 0 10+30•0 10
1 50 + 20•1 70 1 10+30•1 40
2 50 + 20•2 90 2 10+30•2 70
3 50 + 20•3 110 3 10+30•3 100
4 50 + 20•4 130 4 10+30•4 130
5 50 + 20•5 150 5 10+30•5 160
8 50 + 20•8 210 8 10+30•8 250
10 50 + 20•10 250 10 10+30•10 310
If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).
Group of answer choices
2x^2 - 2
2(x+1)^2 - 3
2x^2 + 2
2x^3 + 2x^2 - 3x - 3
Answers
Answer:
g(
x
2
−
3
)
=
2
x
2
−
7
Step-by-step explanation:
brainliest
X+2x-5+6= 0 How would you picture model this to solve for x?
Answers
Hey there!
x + 2x - 5 + 6 = 0
1x + 2x - 5 + 6 = 0
3x + 1 = 0
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 = 0 - 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: 0 - 1 because that helps solve for the x-value
0 - 1 = -1
NEW EQUATION: 3x = -1
DIVIDE 3 to BOTH SIDES
3x/3 = -1/3
CANCEL out: 3/3 because that gives you 1
KEEP: -1/3 because it gives you the value of x
SIMPLIFY IT
x = -1/3
Therefore, your answer is: x = - 1/3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Can some pls help me
Answers
Answer:
5.29
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (8)^2 - (6)^2
(Side)^2 = 64 - 36
(Side)^2 = 28
Side = √28
Side = 5.29
_________
[tex] \: [/tex]
a² = c² - b²
a² = 8² - 6²
a² = 64 - 36
a² = 28
a = √28
a = 2√7
1 pts
Graph the linear function y +8 = 2(x + 2)
-8
4
8
o
IA
2,8)
(014)
Answers
Answer: In the picture
please give me a brainliest answer
please help ill give brainliest plz give me a simple answer
Answers
Answer:
Bottom answer
Step-by-step explanation:
This says the absolute value of a number is greater than 3.
First, any positive number greater than 3 will work.
But since they also say the absolute value, any negative lower than -3 will also work. For example, the absolute value of -4 is 4 which is greater than 3.
However, it cannot be 3 or -3 since it must be greater than 3. If you notice the bottom answer has an OPEN circle on 3 and -3 which means those two numbers are not included in the answer. It is anything greater than 3 and anything less than -3 but not including those two numbers.
Answer:
4th option
Step-by-step explanation:
d | > 3
The solution is going to be all the points that are more than 3 units away from zero , but not equal to zero
- 4 and 4 are more than 3 units away from zero
The required graph is one with an open circle at - 3 and 3 with
arrow pointing left from - 3 and arrow pointing right from + 3
This is indicated on the 4th graph
What is the total surface area of a right cylinder with diameter 14 inches, and height 5 inches
Answers
Answer:
The total surface area is 527.79in²
Step-by-step explanation:
I am REALLY good at area!
Find f(0), f(3), and f(5) for the following function: f(x) = 3x + 1
f(0) =
f(3) =
f(5) =
Answers
Answer:
1, 10, 16
Step-by-step explanation:
Substitute the given values of x into f(x)
f(0) = 3(0) + 1 = 0 + 1 = 1
f(3) = 3(3) + 1 = 9 + 1 = 10
f(5) = 3(5) + 1 = 15 + 1 = 16
the sum of four times a number and 2 is 10. find the number.
Answers
Answer:
What is the number 2
Step-by-step explanation:
2*4=8
8+2=10
Mary finds 8 pine cones on a walk. She finds 3 more pine cones than bobby finds. How many pine cones does bobby find?
Answers
It’s actually 11
4x - 3 = 5 X=? can anyone tell me please
Answers
Answer:
x = 2
Step-by-step explanation:
4x - 3 = 5
4x = 8
x = 8/4
x = 2
------------
4 (2) - 3 = 5
8 - 3 = 5
5 = 5
answer: x = 2
if everything in a store is 20% off and the discounted price of an item is $18.00 what is the regular price?
Answers
Answer:
14.4 dollars
Step-by-step explanation:
If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars
Solve the equation −4(x − 1) + 6x = 2(17 − x)
solve for x.
Answers
Answer:
x = 15/2
Step-by-step explanation:
-4x + 4 + 6x = 34 - 2x
2x + 2x = 34 - 4
4x = 30
x = 30/4
x = 15/2
can anybody help me with this?
Use this graph of f to find the solutions to f(x) = 0.