State if the triangles in each pair are similar. If so, state how you know they are similar. *
1 answer:
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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:
Here, a = 30, <A = 130, and <B = 21. So, let's plug these in:
b = AC = ≈ 14.03 miles
5. Here, c = 7, <C = 23, and <A = 123. We want to find BC, which is just a:
a = BC = ≈ 15.02 kilometers
6. Here, c = 22, <C = 88, and <B = 65. We want to find AC, which is just b:
b = AC = ≈ 19.95 meters
Hope this helps!