What the answer now fast correct

Question

asked Mar 12, 2021 9.6k views

1 Answer

Joshscorp · Answer 1 · 2021-03-18T16:11:06+0000

Answer:

12.6 units.

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=√(160)

$t\approx 12.6$

Therefore, the value of t is 12.6 units.