Question

100 POINTS!
What is the value of x? Enter your answer in the box. x =

Answer 1

x = 4

Explanation:

For ΔLJK

`sin(K) = (Opposite)/(Hypotenuse) \\sin(30)=(LJ)/(8√(2) )`

`LJ=8√(2) *sin30=4√(2)`

For ΔLMJ

`sin(J) = (Opposite)/(Hypotenuse) \\sin(45)=(LM)/(4√(2) )`

`LM=4√(2) *sin45=4`

x = LM = 4