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igomit [66]
3 years ago
13

An escalator lifts people to the second floor of a building, 21 ft above the first floor. the escalator rises at a 30 degree ang

le. to the nearest foot, how far dies a person travel from the bottom to the top of the escalator?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0
We use the trigonometric function for this case. An escalator is an inclined path. We form a right triangle since we have given the value of the height. The height from the first floor to second floor is called the adjacent while the travelled distance of the people is called the hypothenuse. We use cosine function because we are given in terms of adjacent and hypothenuse. The ratio of cosine function is
cos x = a/h
where x is the angle
Solving for h,
h = a/(cos x) = 21/(cos 30) = 24.25 ft
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Answer:

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Step-by-step explanation:

Since we have been given the values for two of the unknowns, we can substitute them into the equation to find the third.

d = 405

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d = rt

405 = r (7.5)

405=7.5r

Now to find r, we need to get it by itself on one side so we have r = ...

We can do this by dividing 7.5 from both sides of the equation as this will cancel out the 7.5, leaving us with the r value, and everything you do to one side of an equation must also be done to the other side.

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The unknown value 'r' = 54

Since 'r' stands for 'rate', the units given must be appropriate for speed. As the distance was given in miles, and the time in hours, the unit for 'r' must be miles/hour. Therefore r=54miles/hour.

Hope this helped!

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