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3 years ago

13

Rasheed has a scale drawing of his house in which 1 inch on the drawing represents 4 feet in the house. In the drawing, the fron

t of his house measures 1 foot. How long is the house?

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:5

Step-by-step explanation:

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4 years ago

Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a

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3 years ago

An architect is designing a department store. She wants to add an escalator. She knows that the escalator will make a 30° angle

lbvjy [14]

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,

$tan30=\frac{36}{d}\\ \\ \frac{1}{\sqrt{3}} = \frac{36}{d}\\ \\ d=36\sqrt{3} \\$

Again in triangle ABC, Using Pythagoras Theorem

$AC^2=AB^2+BC^2\\ \\ l^2=36^2+(36\sqrt{3})^2\\ \\ l=\sqrt{36^2+(36\sqrt{3})^2} \\ \\ l=\sqrt{5184} =72\\$

The horizontal length needed is $36\sqrt{3} ft$

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

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Answer:

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Step-by-step explanation:

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