Question

How do I solve this problem?

Answer 1

Answer:

$EF=7.6\ units$

$EG=15.9\ units$

$m$

Step-by-step explanation:

step 1

Find the measure of side EF

we know that

In the right triangle EFG

$tan(61.4\°)=\frac{FG}{EF}$

$EF=\frac{FG}{tan(61.4\°)}$

$EF=\frac{14}{tan(61.4\°)}$

$EF=7.6\ units$

step 2

Find the measure of side EG

we know that

In the right triangle EFG

$sin(61.4\°)=\frac{FG}{EG}$

$EG=\frac{FG}{sin(61.4\°)}$

$EG=\frac{14}{sin(61.4\°)}$

$EG=15.9\ units$

step 3

Find the measure of angle G

wee know that

$m>E+m$ -----> by complementary angles

we have

$m$

substitute

$61.4\°+m$

$m$