Question

What is the value of x?



Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =

cm

Answer 1

we know that

angle F=180°-(40+87)°=53°
applying the law of sines
EF/sin G=EG/sin F
EF=x
EG=13 cm
G=87°
F=53°
so

x/sin 87°=13/sin 53°---------> x=sin 87*(13/sin 53°)-------> x=16.3 cm

The answer is
x=16.3 cm