Question

In ∆RST, r=1.7 inches ,s= 7.3 inches and

Answer 1

5.7 inches

Step-by-step explanation:

The law of cosines says that if we have a triangle of the form

Then

`t^2=s^2+r^2-2rs\cos T`

now in our case

s = 7.3, r = 1.7 and T = 15 degrees; therefore, the above formula gives

`t^2=7.3^3+1.7^2-2(1.7)(7.3)\cos 15^o`

which evaluates to

`t^2=32.5341.\text{.}`

taking the square root of both sides gives

`t=\sqrt[]{32.5341}`
`t=5.7\; in`

which is our answer!