Question

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

Answer 1

Answer:

5.7 inches

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!