Question

The skylon tower in Niagara Falls Canada has a revolving restaurant 775 feet above the falls. The restaurant makes a complete revolution once every hour. While a visitor was at the tower, the restaurant rotated through 135. How long was the visitor at the tower

Answer 1

22.5 minutes.

Explanation:

Let x represent time spent by visitor at the tower.

We have been given that the Skylon tower in Niagara Falls Canada has a revolving restaurant 775 feet above the falls. The restaurant makes a complete revolution once every hour.

We know that 1 hour equals 60 minutes.

We also know that 1 full revolution equals 360 degrees.

Now, we will use proportions to solve our given problem as:

`\frac{\text{Time}}{\text{Rotation}}=\frac{60\text{ min}}{360^(\circ)}`

`(x)/(135^(\circ))=\frac{60\text{ min}}{360^(\circ)}`

`(x)/(135^(\circ))*135^(\circ)=\frac{60\text{ min}}{360^(\circ)}*135^(\circ)`

`x=\frac{1\text{ min}}{6}*135`

`x=22.5\text{ min}`

Therefore, the visitor spent 22.5 minutes at the tower.

Answer 2

1 revolution is 360 degrees

1 hour = 60 minutes

360/60 = 6

so it rotates 6 degrees every minute

135/6 = 22.5 minutes