Use the law of tangents to find the measures of the unknown angles of AABC. Then use the law of sines to the find the length of the unknown side. Express angle measures to the nearest degree and lengths to two significant digits. 1. 2C = 47°, a = 46, b = 19 2. 2C = 51°, a = 71, b = 27

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 38E: On a baseball diamond a square, the bases are 90ft apart. Use the Law of Sines to find the distance...
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Please answer Number 2 for Let's Apply and answer number 7 for Let's Analyze.
Apply (Exercises)
Use the law of tangents to find the measures of the unknown angles of AABC.
Then use the law of sines to the find the length of the unknown side. Express
angle measures to the nearest degree and lengths to two significant digits.
1. 2C = 47°, a = 46, b = 19
2. 2C = 51°, a = 71, b = 27
3. 2C = 104°, a = 27, b = 15
4. ZA = 43°, b = 61, c = 47
5. ZA = 123°, b = 15, c = 13
Transcribed Image Text:Apply (Exercises) Use the law of tangents to find the measures of the unknown angles of AABC. Then use the law of sines to the find the length of the unknown side. Express angle measures to the nearest degree and lengths to two significant digits. 1. 2C = 47°, a = 46, b = 19 2. 2C = 51°, a = 71, b = 27 3. 2C = 104°, a = 27, b = 15 4. ZA = 43°, b = 61, c = 47 5. ZA = 123°, b = 15, c = 13
Let's Analyze (Enrichment Exercises)
Use the law of tangents to find the measures of the unknown angles of AABC.
Then use the law of sines to the find the length of the unknown side. Express
angle measures to the nearest degree and lengths to two significant digits.
6. ZA = 47°, ZB = 29°, a + b = 49
7. ZA = 37°, ZB = 62°, a + b = 76
8. ZA = 94°, 2C = 22°, a + b = 114
9. ZA = 42°, 2C = 101°, a + b = 213
10. ZA = 48°, ZB = 60°, a + b = 86
Transcribed Image Text:Let's Analyze (Enrichment Exercises) Use the law of tangents to find the measures of the unknown angles of AABC. Then use the law of sines to the find the length of the unknown side. Express angle measures to the nearest degree and lengths to two significant digits. 6. ZA = 47°, ZB = 29°, a + b = 49 7. ZA = 37°, ZB = 62°, a + b = 76 8. ZA = 94°, 2C = 22°, a + b = 114 9. ZA = 42°, 2C = 101°, a + b = 213 10. ZA = 48°, ZB = 60°, a + b = 86
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