Question

In △ STU, t=100cm, m∠ U=159° and m∠ S=18°. Find the length of s, to the nearest 10th of a centimeter.

Answer 1

Using the Law of Sines, we can find that the length of side s is approximately 17.2 cm.

Step-by-step explanation:

To find the length of side s in triangle STU, we can use the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is equal for all three sides. In this case, we have:

s/sin(18°) = t/sin(159°)

We can substitute the given values and solve for s:

s/sin(18°) = 100/sin(159°)

s = (100 cm * sin(18°)) / sin(159°)

Using a calculator, we can find that s ≈ 17.2 cm (rounded to the nearest tenth).