An architect is designing a department store. she wants to add an escalator. she knows that the escalator will make a 30° angle with the floor and will have a vertical height of 36 feet. how much room will she need to allot for the horizontal length? the horizontal length needed is answer feet. what distance will a person travel on the excalator stairs? the distance a person would travel on the escalator stairs is answer feet.

As per the problem

The escalator make a 30° angle with the floor .

The escalator have a vertical height of 36 feet.

Now draw the diagram with the given information, the diagram is attached below

From the diagram,

Horizontal length=AB=d

Distance traveled by the person on the escalator stairs=AC=l

In triangle ABC,

Again in triangle ABC, Using Pythagoras Theorem

The horizontal length needed is

The distance a person would travel on the escalator stairs is 72 ft

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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