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Alla [95]
4 years ago
10

Given that DE = 75 inches what is the length of EF ?

Mathematics
1 answer:
vesna_86 [32]4 years ago
5 0

Answer:

<h2>61.19 inches</h2>

Step-by-step explanation:

Use the sine law:

\dfrac{DE}{\sin(\angle F)}=\dfrac{EF}{\sin(\angle D)}

We have:

DE=75\ in\\\\m\angle F=75^o\to\sin75^o\approx0.9659\\\\m\angle D=52^o\to\sin52^o\approx0.788

Substitute:

\dfrac{75}{0.9659}=\dfrac{EF}{0.788}          <em>cross multiply</em>

0.9659EF=(75)(0.788)

0.9659EF=59.1          <em>divide both sides by 0.9659</em>

EF\approx61.19

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