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Savatey [412]
3 years ago
6

A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degr

ees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft​

Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

Step-by-step explanation:

An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place

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All inputs for x result in a solution.

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Can I get some help, it is due in 15 minutes and I need help. Thanks, any help appreciated
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Well, I'm way past the 15 min mark, but here's how to do the question.


With this, you will need to use the distance formula, \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, on XY, YZ, and ZX.



XY: \sqrt{(3-1)^2+(1-6)^2}


Firstly, solve inside the parentheses: \sqrt{(2)^2+(-5)^2}


Next, solve the exponents: \sqrt{4+25}


Next, solve the addition, and XY's distance will be √29



(The process is the same with the other 2 sides, so I'll go through them real quickly)


YZ:

\sqrt{(6-3)^2+(3-1)^2}\\ \sqrt{(3)^2+(2)^2}\\ \sqrt{9+4}\\ \sqrt{13}



ZX:

\sqrt{(1-6)^2+(6-3)^2}\\ \sqrt{(-5)^2+(3)^2}\\ \sqrt{25+9}\\ \sqrt{34}



Now that we got the 3 sides, we can add them up: \sqrt{29}+\sqrt{13} +\sqrt{34} =14.8


In short, your answer is 14.8, or the second option.

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