Question

The Skyland Tower, in Niagara Falls, Canada has a revolving restaurant 775 ft above the falls. The restaurant make the complete Revolution only every hour.a. While a visitor was at the tower, the restaurant rotated through 135 degrees. How long was the visitor in the tower? b. A visitor was in the tower for 40 minutes. How many degrees did the restaurant rotate?

Answer 1

a) The visitor stayed at the tower for 22.5 minutes

b) The restaurant rotated 240 degrees.

Step-by-step explanation

We are told that the restaurant makes one complete revolution (360 degrees) in 1 hour.

360 degrees = 1 hour

a) We are asked to calculate how long a visitor that rotated 135 degrees stayed at the restaurant.

Let the number of hours this visitor stayed be x

360 degrees = 1 hour

135 degrees = x hours

We can form a mathematical relation by cross multiplying

360 × x = 1 × 135

360x = 135

Divide both sides by 360

(360x/360) = (135/360)

x = 0.375 hour = 22.5 minutes.

b) Here, we are asked to calculate how many degrees the restaurant rotated

Recall that

360 degrees = 1 hour

1 hour = 360 degrees

Let the degree through which the restaurant rotated be y

1 hour = 360 degrees

40 minutes = y degrees

Note that 40 minutes = (40/60) = (2/3) hour

1 hour = 360 degrees

(2/3) hour = y degrees

We can form a mathematical relation by cross multiplying

1 × y = (2/3) × 360

y = 240 degrees

Hope this Helps!!!