Question

In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.

Answer 1

Answer:

$v \approx 415.2\,cm$

Step-by-step explanation:

The angle T is:

$\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}$

$\angle T = 75^{\circ}$

Now, the length of v is determine by the Law of Sines:

$\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}$

$v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)$

$v \approx 415.2\,cm$