Question

What the answer now fast correct

Answer 1

Answer:

12.6 units.

Step-by-step explanation:

According to cosine formula:

$a^2=b^2+c^2-2bc\cos A$

Using cosine formula in triangle STU, we get

$(SU)^2=(ST)^2+(TU)^2-2(ST)(TU)\cos T$

$t^2=(5)^2+(15)^2-2(5)(15)\cos (53^{\circ})$

$t^2=25+225-150(0.60)$

$t^2=160$

Taking square root on both sides.

$t=\sqrt{160}$

$t\approx 12.6$

Therefore, the value of t is 12.6 units.