An escalator lifts people to the second floor of a building, 28 ft above the first floor. The escalator rises at a 30° angle. To the
nearest foot, how far does a person travel from the bottom to,
the top of the escalator?

9514 1404 393

  56 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.

  sin(30°) = (28 ft)/hypotenuse

  hypotenuse = (28 ft)/sin(30°) = 56 ft

The length of the escalator is 56 feet.

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x