Question

laws of Sines with find the angle. Find each measurement indicated. Round your answers to the nearest tenth. Part 4​

Answer 1

Answer:

10. Not enough information

11. B ≈ 12.0°

12. A ≈ 34.1°

Step-by-step explanation:

10. Not enough information

11.

We need to use the Law of Sines, 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 AB = c = 38, C = 128, and AC = b = 10. Plug these in to find B:

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

$\frac{10}{sinB} =\frac{38}{sin128}$

Solve for B:

B ≈ 12.0°

12.

Use the Law of Sines as above.

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

$\frac{23}{sinA} =\frac{28}{sin(43)}$

Solve for A:

A ≈ 34.1°