Question

laws of Sines with find the angle. Find each measurement indicated. Round your answers to the nearest tenth. Show your work please. Part 2​

Answer 1

Answer:

4. Z ≈ 46.1°

5. T ≈ 45.2°

6. F ≈ 15.0°

Step-by-step explanation:

4.

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

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

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:

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

$\frac{30}{sin(110)} =\frac{23}{sinZ}$

Solve for Z:

Z ≈ 46.1°

5.

Use the Law of Sines as above.

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

$\frac{26}{sin(76)} =\frac{19}{sinT}$

Solve for T:

T ≈ 45.2°

6.

Again, use the Law of Sines as before.

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

$\frac{29}{sin(137)} =\frac{11}{sinF}$

Solve for F:

F ≈ 15.0°