Question

a wheelchair ramp has an angle elevation of 24 degrees. if the ramp reaches the top of a 30 inch high porch, how long is the ramp?

Answer 1

\[\sin(24)=\frac{30}{x}\iff x=\frac{30}{\sin(24)}\] and a calculator

Answer 2

i dont understand why x= 30/sin(24)

Answer 3

solve the first equation for \(x\) and that is what you get

Answer 4

x=1.25?

Answer 5

1.25? think about it. if the porch is 30 inches high and the ramp is 1.25 long, it'd look like so anyoneo on a wheelchair will surely fall over after the 1.25 inch length

Answer 6

won't be really a helpful ramp, actually the guy on the wheelchair will not longer need the wheelchair, will be in bed from the fall injuries anyway

Answer 7

i dont really understand how to solve for x then

Answer 8

say \(\bf 2=\cfrac{3}{x}\) what would be the value of "x" there?

Answer 9

x=3/2

Answer 10

ahh, you see... you switch them about, well what about \(\bf sin(24^o)=\cfrac{30}{x}\)

Answer 11

you'd do the same thing

Answer 12

okay so sin(x)=30/24... then what?

Answer 13

\(\bf {\color{blue}{ 2}}=\cfrac{3}{{\color{red}{ x}}}\implies {\color{red}{ x}}=\cfrac{3}{{\color{blue}{ 2}}}\\ \quad \\ \quad \\
{\color{blue}{ sin(24^o)}}=\cfrac{30}{{\color{red}{ x}}}\implies {\color{red}{ x}}=\cfrac{30}{{\color{blue}{ \square ?}}}
\)

Answer 14

\[\frac{ 30 }{\sin \left( 24 \right) } \]

Answer 15

yeap so, that's how long the ramp is

notice that satellite73 had shown that -> \(\sin(24)=\cfrac{30}{x}\iff x=\cfrac{30}{\sin(24)}\)

Answer 16

@satellite73 lol
loved the, and a calculator" comment.

Answer 17

yeah but that still doesn't say what sin is

Answer 18

sine is a trigonometric function

Answer 19

check your calculator, it'd have a button shown as [sin]

Answer 20

30 [\(\div\)] 24 [sin]

Answer 21

well yes i know, but the answers are multiple choice:
97.38
32.84
12.20
73.76
none of which are a long equation

Answer 22

well.. what did you get?

Answer 23

i dont know. because if i divide 30 by 24sin i get 1.25sine

Answer 24

which is way off, which is why im confused

Answer 25

hmmm

Answer 26

ok... get the sine of 24 first
stick it in the calculator's memory [M] or [M+] button usually

then type in "30" then "\(\div\)" then press the Memory Recall, usually an [MR] button
then enter

Answer 27

30/sin(24) = 73.75780007

Answer 28

ohhh, i using my calculator incorrectly.. haha sorry. thank you so much for your help.
73.76

Answer 29

https://www.google.com/search?client=opera&rls=en&q=30/sin(24+degrees)&sourceid=opera&ie=utf-8&oe=utf-8&channel=suggest

Answer 30

yw