In a mall, a shopper rides up an escalator between floors. At the top of the escalator, the shopper turns right and walks 8.30 m to a store. The magnitude of the shopper's displacement from the bottom of the escalator to the store is 16.00 m. The vertical distance between the floors is 5.10 m. At what angle is the escalator inclined above the horizontal?

Question
Asked Apr 3, 2019

In a mall, a shopper rides up an escalator between floors. At the top of the escalator, the shopper turns right and walks 8.30 m to a store. The magnitude of the shopper's displacement from the bottom of the escalator to the store is 16.00 m. The vertical distance between the floors is 5.10 m. At what angle is the escalator inclined above the horizontal?

check_circleExpert Solution
Step 1

Let AC is the vertical distance between two floors. BD is the distance walked by the shopper towards right. BC is the shopper\'s displacement from the bottom of the escalator to the store. DC is the inclination of the escalator and angle ACD is the angle of inclination.

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Step 2

Given:

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Step 3

Calculation:

Considering right angle triangle ABC ...

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