Respuesta :

step 1

Find the value of VW side

applying the law of sines

we have that

VW/sin(67)=42/sin(55)

VW=[42/sin(55)]*sin(67)

VW=47.2 m

step 2

Find the measure of angle V

Remember that

the sum of the ihe interior angles in any triangle must be equal to 180 degrees

so

67+55+mm

step 3

Find the area of triangle VWX

Apply the law of sines

we have that

A=(1/2)(VX)(VW)sin(V)

substitute given values

A=(1/2)(42)(47.2)sin(58)

A=840.6 m2