austin125
austin125 austin125
  • 11-06-2018
  • Mathematics
contestada

Find x.
A) 28
B) 96
C) 24
D) 100

Find x A 28 B 96 C 24 D 100 class=

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LammettHash
LammettHash LammettHash
  • 11-06-2018
The smaller triangle to the upper right, with sides [tex]y[/tex], 36 and 60, is similar to the larger triangle whose hypotenuse is [tex]x[/tex]. The corresponding angle [tex]\theta[/tex] is labeled in the attached image. It satisfies

[tex]\sin\theta=\dfrac{36}{60}=\dfrac{60}x[/tex]


which tells you that

[tex]\dfrac{36}{60}=\dfrac{60}x\implies x=\dfrac{60^2}{36}=100[/tex]
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