Question

Find each measurement indicated. Round your answers to the nearest tenth. Please show your work. Part 2

Answer 1

Answer:

4. 14.03 miles

5. 15.02 kilometers

6. 19.95 meters

Step-by-step explanation:

4. We need to use the law of sines, which states that for a triangle with angles A, B, and C and sides a, b, and c, respectively, then:

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

Here, a = 30, <A = 130, and <B = 21. So, let's plug these in:

$\frac{30}{sin130} =\frac{b}{sin21}$

b = AC = $\frac{30}{sin130}*{sin21}$ ≈ 14.03 miles

5. Here, c = 7, <C = 23, and <A = 123. We want to find BC, which is just a:

$\frac{7}{sin23} =\frac{a}{sin123}$

a = BC = $\frac{7}{sin23} *{sin123}$ ≈ 15.02 kilometers

6. Here, c = 22, <C = 88, and <B = 65. We want to find AC, which is just b:

$\frac{22}{sin88} =\frac{b}{sin65}$

b = AC = $\frac{22}{sin88} *{sin65}$ ≈ 19.95 meters

Hope this helps!

Answer 2

Answer:

4. 14.0

5. 19.3 km

6. 20.0 m

Step-by-step explanation:

4. using sine law

AC/sin21 = 30/sin130

AC = (30/sin130) × sin21

AC = 14.03448401

5. BC/sin123 = 9/sin23

BC = (9/sin23) × sin123

BC = 19.31772147

6. AC/sin65 = 22/sin88

AC = (22/sin88) × sin65

AC = 19.95092488