1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dybincka [34]
3 years ago
15

In a mall, a shopper rides up an escalator between floors. at the top of the escalator, the shopper turns right and walks 9.09 m

to a store. the magnitude of the shopper's displacement from the bottom of the escalator to the store is 16.0 m. the vertical distance between the floors is 4.89 m. at what angle is the escalator inclined above the horizontal?

Mathematics
1 answer:
Semenov [28]3 years ago
5 0
Let x represent the horizontal displacement of the top of the escalator from its bottom. The geometry of the problem and the Pythagorean theorem tell you
  x² + 4.89² + 9.09² = 16.0²
  x² = 149.4598
  x ≈ 12.22 . . . meters

Then the tangent of the angle of interest is
  tan(α) = (4.89 m)/(12.22 m)
  α = arctan(4.89/12.22) ≈ 21.8°

The escalator is inclined 21.8° above the horizontal.

You might be interested in
Complete the table for the equation y = x<br> 2. Then use the table to graph the equation.
Brrunno [24]
The coordinates (starting from left) are
(-2,-4)(-1,-3)(0,-2)(1,-1)(2,0)

to find the y..
- ur given y=x-2
- u have all the x values on the table

so say u wanna find the y for -2, just plug it into the equation y = x - 2
so then it’ll be y = (-2) - 2
the only reason u can plug in the -2 is bc the -2 is a x value

same logic for the other numbers on the table, to find the y value for -1 just plug in -1 into y = x - 2
so then it’ll be y = (-1) - 2

3 0
2 years ago
Read 2 more answers
Is anyone taking saxon Advanced mathematics?
vivado [14]
Not me...........................
5 0
3 years ago
When you went to sleep, the temperature was −2.8°C.
galben [10]

D

The larger the number the warmer it is

7 0
3 years ago
Jen is a baker and she wants to make cookies. She has 3 lbs. of butter in the refrigerator. Each batch of cookies requires 3/4 p
mihalych1998 [28]
4 batches of cookies
5 0
3 years ago
Write a division problem whose quotient has its first digit in the hundreds place
valentinak56 [21]
Quotient is another name for the answer to a division problem
the hundreds place is the 3rd number before the decimal, 9999999.0                                                                                           ^this one
so you need to find a division problem that equals something between 100 and 999
1000 divided by 10 is a good one, the answer to that problem is 100, and 100 has its first digit in the hundreds place.
7 0
3 years ago
Other questions:
  • Ella played a math game and had the five cards shown.
    13·1 answer
  • each of the letter in the word are on separate cards.face down on the table. if you pick a card at random. what is the probabili
    13·1 answer
  • Need help!!!! Please answer these equations and show your work. Thank you!!!
    9·1 answer
  • You need to mix a solution that is 70% anti-freeze with one that is 30% anti-freeze to obtain 20 L of a mixture that 60% anti-fr
    12·1 answer
  • Simplify:<br><br><br> A. 4.08<br> B. 5.62<br> C. -7.62<br> D. -9.14
    13·2 answers
  • Which equation represents a line that is parallel to 2x-3y=9
    7·1 answer
  • Using the right triangle below, find the tangent of angle B.
    10·1 answer
  • At the store brand a potato chips or $11.90 for four bags
    9·1 answer
  • In the figure shown, line AB is parallel to line CD.
    12·1 answer
  • What are the solutions of 5x+23&gt;2x−4​?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!