Question

10. Escalators: An escalator in the subway system of St. Petersburg, Russia, has a vertical rise of 195 ft 9.5 in., and rises at an angle of 10.4. How long is the escalator? Round your answer to the nearest foot.

Answer 1

@agent0smith @mathmale @jdoe0001 @jim_thompson5910 @shamil98 @whpalmer4 @Mertsj @phi @timo86m @KenLJW

Answer 2

is this trig ?

Answer 3

@phi yes, but we are learning it in geometry

Answer 4

did you sketch the problem and label the parts you know ?

Answer 5

no cause I am not well aware of what it could look like

Answer 6

do you know what an escalator looks like ?

Answer 7

yes

Answer 8

It may help you to review quickly the definitions of the basic trig functions, so that you could quickly and easily choose the one (or ones) appropriate for solving the math problem in question.

For example: If you happen to know one angle of a right triangle, and know the value of the adjacent side, you could find the opposite side. Which key fits the lock, so to speak?

Answer 9

sketch an escaltor

Answer 10

phi's suggestion that you sketch the situation described is a very sound one. Can you do that, or, as he suggests, can you sketch an escalator, showing that the angle that the escalator makes with the ground/floor is 10.48 degrees?

Answer 11

I drew it

Answer 12

What's my next step after I draw it?:

Answer 13

BVS?

Answer 14

In this problem, it would help to make a right triangle. The vertical leg is 195 ft. 9 in. The hypotenuse of the triangle is what we are solving for, so let us call it "x". The angle between the hypotenuse and the horizontal leg is 10.4 degrees.

Since we know the vertical leg and want to find the hypotenuse, we can use the trig function sine because the vertical leg is opposite and sine is opp/hyp:

sin(10.4°) = (195.79166666667 ft) / x

(195.79166666667 ft)/(sin(10.4°)) = x
1084.60 ft = x

Answer 15

Read last sentence to question @misssunshinexxoxo

Answer 16

1085

Answer 17

Firejay: That's a new one: you "borrow" and post an illustration from the 'Net while saying that you drew it. I'd prefer to see you really draw your own illustrations.

Before we get into "what to do next," what are you hoping to find/calculate in this problem?

Misssunshine, I respectfully ask you not to interrupt an ongoing discussion with anything other than contributions (math) to it. Please.

Answer 18

supposing that you were now to draw a triangle parallel to the escalator, and to label all 3 sides of that triangle, what name would you give to the longest side? That longest side represents the ...... what ? .... of the escalator.

Answer 19

mathmale what is the rounded solution?

Answer 20

Firejay, we need to hear from you. Misssunshine, our job is to help Firejay solve this problem; I'd be glad to answer your own questions later.