Question

In ARST, r = 1.7 inches, s = 7.3 inches and ZT=15°. Find the length of t, to the nearest

Answer 1

Answer:

The answer is "5.7"

Step-by-step explanation:

Using the cosine rule.

$\cos T = \frac{r^2+s^2-t^2}{2rs} \\\\t^2= r^2+s^2-2rs \cos T ........(i)\\\\r=1.7\\s=7.3\\T=15\\\\t^2= (1.7)^2+(7.3)^2-2(1.7)(7.3) \cos 15^{\circ}$

   $=2.89+53.29-24.82(0.9659)\\\\=32.2064$

$t= 5.6751 =5.7$