Question

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

Answer 1

Answer:

61.19 inches

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:

$\dfrac{75}{0.9659}=\dfrac{EF}{0.788}$          cross multiply

$0.9659EF=(75)(0.788)$

$0.9659EF=59.1$          divide both sides by 0.9659

$EF\approx61.19$