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Marina86
[1]
3 years ago
14
Use the figure shown to find the missing lengths of the triangle.
Mathematics
Answer
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1
answer:
Xelga
[282]
3 years ago
7
0
Can use right angle angle trigonometry as this is a right triangle
sine is opposite over hypotenuse
sin 60 = BC/AB because opposite to 60 is BC and the hypotenuse is AB.
rearrange for AB
sin 60 = BC/AB
AB sin 60 = BC
AB = BC / sin 60
we are given that BC = 15 in
AB = 15 / sin60
AB = 17.321 in
(calculator
can use tangent of 60 degrees to find AC
tangent is opposite over adjacent so
tan(60) = BC / AC
AC tan 60 = BC
AC = BC / tan 60
AC = 15 / tan 60
AC = 8.660 in
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