Question

If the height of the building is 100 feet and the sun makes a 50 degree angle with the ground as shown in the image below, what is the distance from the top of the building to the tip of the shadow

answers:
75.4 feet
130.5 feet
76.6 feet
331.3 feet

Answer 1

\[\sin(50)=\frac{100}{x}\] solve for \(x\)

Answer 2

how would i do that?

Answer 3

\[c=\frac{a}{x}\iff x=\frac{a}{c}\]

Answer 4

whoaahh omg ha

Answer 5

that's so confusing

Answer 6

c'mon no it isn't!

Answer 7

hmmm

Answer 8

\(4=\frac{12}{3}\)is the same as \(3=\frac{12}{4}\)

Answer 9

what would you do if you had to solve \(6=\frac{18}{x}\) ?

Answer 10

multiply?

Answer 11

i'll bet you would divide 18 by 6 and get 3

Answer 12

then again maybe i am wrong...

Answer 13

oh lol umm

Answer 14

we can even take it step by step if that makes it easier
\[\sin(50)=\frac{100}{x}\] multiply both sides by \(x\) and get
\[x\sin(50)=100\] then divide both sides by \(\sin(50)\) and get
\[x=\frac{100}{\sin(50)}\] but you don't want to do this twice !

Answer 15

ohhhh okay i guess that's easy to understand

Answer 16

convince yourself that \(c=\frac{a}{x}\iff x=\frac{a}{c}\) is not at all confusing, it is how you solve this proportion

Answer 17

it gives you 130.5 !

Answer 18

so basically your just plugging it in ?

Answer 19

yeah something like that
i got 130.54

Answer 20

thanks your awesome.! (:

Answer 21

ye
(blush)