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4. AC = AB= ZB= C 63 15 B

4. AC = AB= ZB= C 63 15 B

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Trigonometry Problem Set** Use trigonometry with each of the following problems. **DO NOT USE THE PYTHAGOREAN THEOREM!** Show all work. Round to the nearest whole number. --- ### Problem 1: A /| / | 11/ | /39°| /____| C B Given: - Angle \( \angle BCA = 90^\circ \) - Side \( AC = 11 \) - Angle \( \angle ACB = 39^\circ \) Find: - \( AB = \) - \( CB = \) - \( \angle BAC = \) --- ### Problem 2: A /| / | 34/ | /23°| /____| C B Given: - Angle \( \angle BCA = 90^\circ \) - Side \( AC = 34 \) - Angle \( \angle ACB = 23^\circ \) Find: - \( AC = \) - \( CB = \) - \( \angle BAC = \) --- ### Problem 3: B /| / | 19/ / | / | ----- C 13 A Given: - Angle \( \angle BCA = 90^\circ \) - Side \( AB = 19 \) - Side \( BC = 13 \) Find: - \( AC = \) - \( \angle BAC = \) - \( \angle ABC = \) --- ### Problem 4: A /| / | 63°/ | / | /____| C B 15 Given: - Angle \( \angle BCA = 90^\circ \) - Side \( CB = 15 \) - Angle \( \angle BAC = 63^\circ \) Find: - \( AC = \) - \( AB = \) - \( \angle ABC = \) --- **Instructions:** 1. Use trigonometric ratios—sine, cosine, and tangent—to solve for the unknown sides and angles. 2. Do not use the Pythagorean Theorem. 3. Cross-verify your results by checking if the obtained angles sum correctly to \(90^\circ\) in right-angle triangles. 4.
Transcribed Image Text:**Trigonometry Problem Set** Use trigonometry with each of the following problems. **DO NOT USE THE PYTHAGOREAN THEOREM!** Show all work. Round to the nearest whole number. --- ### Problem 1: A /| / | 11/ | /39°| /____| C B Given: - Angle \( \angle BCA = 90^\circ \) - Side \( AC = 11 \) - Angle \( \angle ACB = 39^\circ \) Find: - \( AB = \) - \( CB = \) - \( \angle BAC = \) --- ### Problem 2: A /| / | 34/ | /23°| /____| C B Given: - Angle \( \angle BCA = 90^\circ \) - Side \( AC = 34 \) - Angle \( \angle ACB = 23^\circ \) Find: - \( AC = \) - \( CB = \) - \( \angle BAC = \) --- ### Problem 3: B /| / | 19/ / | / | ----- C 13 A Given: - Angle \( \angle BCA = 90^\circ \) - Side \( AB = 19 \) - Side \( BC = 13 \) Find: - \( AC = \) - \( \angle BAC = \) - \( \angle ABC = \) --- ### Problem 4: A /| / | 63°/ | / | /____| C B 15 Given: - Angle \( \angle BCA = 90^\circ \) - Side \( CB = 15 \) - Angle \( \angle BAC = 63^\circ \) Find: - \( AC = \) - \( AB = \) - \( \angle ABC = \) --- **Instructions:** 1. Use trigonometric ratios—sine, cosine, and tangent—to solve for the unknown sides and angles. 2. Do not use the Pythagorean Theorem. 3. Cross-verify your results by checking if the obtained angles sum correctly to \(90^\circ\) in right-angle triangles. 4.
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