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?
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OpenStudy (anonymous):
OpenStudy (zzr0ck3r):
sin(40)/x=sin(50)/100
x=100*sin(40)/sin(50)
OpenStudy (anonymous):
meaning...?
OpenStudy (zzr0ck3r):
plug that into a calc
x = 83.9
OpenStudy (zzr0ck3r):
do you know about cos(x) and sin(x) yet?
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OpenStudy (anonymous):
kind of not rlly.
OpenStudy (zzr0ck3r):
what I used was law of sines, google it, its a pretty nice solver for these
OpenStudy (anonymous):
@zzr0ck3r what did you plug the x into?
OpenStudy (zzr0ck3r):
?
OpenStudy (zzr0ck3r):
this question is a year old btw
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OpenStudy (anonymous):
yah, but i have the same question.
OpenStudy (anonymous):
i understand all that you did, but when you say plug it into a calc, you are not specific
OpenStudy (zzr0ck3r):
im saying
put this in a calculator
100*sin(40)/sin(50)
OpenStudy (anonymous):
and then you got x=83.9
OpenStudy (zzr0ck3r):
correct
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OpenStudy (anonymous):
but that not one of my available options
OpenStudy (anonymous):
75.4 feet
130.5 feet
76.6 feet
331.3 feet
OpenStudy (zzr0ck3r):
ahh typo that should say sin(90) not 40
OpenStudy (zzr0ck3r):
100*sin(90)/sin(50)
OpenStudy (zzr0ck3r):
=130.5
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OpenStudy (zzr0ck3r):
well you should have caught that if you understood. do you see what im talking about?