In ∆ STU, s =530 inches, t = 480 inches and < U=58°. Find step 1
Applying the law of cosines
u^2=s^2+t^2-2(s)(t)cos(U)
Find the value of u
substitute given values
u^2=530^2+480^2-2(530)(480)cos(58)
u^2=241,677.078
u=491 in
step 2
Applying the law of sines
u/sin(U)=t/sin(T)
491/sin(58)=480/sin(T)
sin(T)=480*sin(58)/491
sin(T)=0.8290