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Ulleksa [173]
3 years ago
5

A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest

tenth of a​ degree, if its final height is 5 feet.
Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

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Answer:

9/16

Step-by-step explanation:

First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:

   

.5625 x 10000

 

   

10000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

   

5625 /10000

The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:

   

5625 ÷ 625 /10000 ÷ 625

And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:

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Answer:

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Step-by-step explanation:

First we arrange the data in ascending order . Then find the number of the values corresponding to the given value. Then equate it with the number of observations and x and then multiply it to get the percentile. n= P/100 *N

where n is the ordinal rank of the given value

N is the number of values in ascending order.

The data in ascending order is

0.1 0.2 0.2 0.2 0.3 0.6 0.6 0.6 0.7 0.8 0.8 0.8 0.9 1.3

1.5 1.7 1.9 2.2 2.3 2.3 2.6 2.8 3.3 3.5 5.5 6.1 6.4 6.9 7.5 7.9 8.3 9.8 10.1 11.8 11.9 12.1 12.3 12.7 12.9 13.8 13.8 14.6 14.7 14.8 27.5

Number of observation = 45

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