Question

In ∆ STU, s =530 inches, t = 480 inches and < U=58°. Find

Answer 1

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