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?

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SamyarV660629 SamyarV660629 · Answer 1 · 2022-10-25T19:18:36+02:00

Answer

a) The visitor stayed at the tower for 22.5 minutes

b) The restaurant rotated 240 degrees.

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!!!