Question

In ΔTUV, u = 17 cm, ∠T=11° and ∠U=103°. Find the length of t, to the nearest centimeter.

Answer 1

Answer:

3.33 cm

Step-by-step explanation:

We need to use the Law of Sines to solve this, which states that for a triangle with lengths a, b, and c and angles A, B, and C:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

Here, we can say that a = 17, A = 103, and B = 11 and we want to find b:

$\frac{17}{sin(103)} =\frac{b}{sin(11)}$

b * sin(103) = 17 * sin(11)

b ≈ 3.33 cm

The answer is about 3.33 cm.

Answer 2

Answer:

3 cm

Step-by-step explanation:

Using sine law

u/sinU = t/sinT

t = sinT × u/sinU

t = sin(11) × 17/sin(103)

t = 3.3290769479