A lamp post, CAB, bent at point A after a storm. The tip of the lamp post touched the ground at point C, as shown below.
http://oi48.tinypic.com/24b3nv6.jpg
What is the height, in feet, of the portion AB of the lamp post?
A)20/tan55
B)20 cos55
C)20 tan55
D)20/cos55
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OpenStudy (anonymous):
@terenzreignz
OpenStudy (anonymous):
isnt this C?
terenzreignz (terenzreignz):
Yes, it's C.
OpenStudy (anonymous):
are you sure? @terenzreignz
OpenStudy (anonymous):
SOHCAHTOA
Sine = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
So for angle BCA which is 55 degrees, you want the length of O and you know A = 20, so the length is best defined as O/A = O/20 = tan 55, so (tan 55)/20 = O.
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OpenStudy (anonymous):
Wait that can't be right...
OpenStudy (anonymous):
so what would it be? @Rav
OpenStudy (anonymous):
Right tan 55 * 20 = O, my bad.
OpenStudy (anonymous):
was i right? @Rav
OpenStudy (anonymous):
The answer is C.
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