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sattari [20]
3 years ago
15

A wheelchair access ramp has an angle of elevation of 18°. If the ramp reaches the top of a 26 inch high porch, how long is the

ramp

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0
Draw diagarm

we want to know the hyptohuse
use cos

cos(x)=opositeside/hhyptohuse
hypothuse=length of ramp

cos(18°)=26/?
times both sides by ?
?cos(18°)=26
divide both sides by cos(18°)
?=26/(cos(18°))
use your calculator
?=27.338in

the ramp is about 27in

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what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.
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To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

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2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

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I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

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= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

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Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





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