Question

What the answer now fast correct

Answer 1

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.