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
Montano1993 [528]
3 years ago
6

​The length of the escalator is 30 feet and the distance between the floors is 12 feet. ​ ​Find the distance from the base of th

e escalator to the point on the first floor directly below the top of the escalator.

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet

Step-by-step explanation:

Given:

Length of escalator = 30 feet

Distance between the floors = 12 feet

To find the distance from base of escalator to the point on the first floor directly below the top of the escalator  we will create the figure for the situation.

From the figure we see that a triangle ABC is formed.

We see that the Δ ABC is a right triangle.

Applying Pythagorean theorem for right triangle ABC to find the missing side.

AB^2=BC^2+AC^2

AB = 30 feet

BC = 12 feet

Plugging in values in the theorem.

30^2=12^2+AC^2

Solving for AC.

900=144+AC^2

Subtracting both sides by 144.

900-144=144+AC^2-144

756=AC^2

Taking square root both sides.

\sqrt{756}=\sqrt{AC^2}

27.5=AC

∴ AC=27.5 feet.

∴ Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet

You might be interested in
2/3 to the fourth power
Stella [2.4K]
The correct answer is 16/81. Hope this helps.
5 0
3 years ago
Read 2 more answers
How to do math easily
katrin [286]

Step-by-step explanation:

Keep quit when they a teaching you and stay with participanting people/friends

7 0
2 years ago
Given that ab=16 bc=5 and cd = 3 which is the length of secant de
jolli1 [7]
Given that AB = 16, BC = 5, and CD = 3, which is the length of secant DE?It might be useful to see ...
3 0
3 years ago
Which of the following is the inverse of the statement if I do my homework then it will snow
BabaBlast [244]
If I dont do my homework then it will not snow.
8 0
3 years ago
-5/3*(-1/8) multiply to find answer
kari74 [83]

Fraction:

5/24

Decimal Form:

0.2083

6 0
3 years ago
Other questions:
  • A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 ove
    13·1 answer
  • What is the center and radius of this circle
    7·1 answer
  • From the top of a 100-ft building a man
    5·1 answer
  • Hot dog buns come in package of 8.for school picnic, mr bught 30 packge of hot dog buns how many hot dog buns did he buy? A,24,b
    14·1 answer
  • Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."
    5·2 answers
  • Mary has a collection of nickels and quarters for a total value of 4.90.if she has 42 coins total how many of each kind are ther
    9·1 answer
  • You start with a number. Double it. Square the answer. You get 1,296. What number did you start with?
    9·2 answers
  • A ride-sharing company claims that the cost of rides follows a Normal distribution with a mean of $10.52. After
    13·1 answer
  • The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being expanded by x feet.
    13·1 answer
  • Math help for this question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!