I am having a hard time with 43 ### Solving Right Triangles with Given Sides and Angles**Instructions:** Solve each right triangle using the given sides and angles. For each case, make a sketch of the triangle. Round approximate answers to the nearest tenth.---**Problems:**39. \( a = 6, \, b = 8 \)40. \( a = 10, \, c = 12 \)41. \( b = 6, \, c = 8.3 \)42. \( \alpha = 32.4^\circ, \, b = 10 \)43. \( \alpha = 16^\circ, \, c = 20 \)44. \( \beta = 47^\circ, \, a = 3 \)---### ExplanationFor each problem, you are to calculate the missing side(s) and angle(s) of a right triangle using the given information. Use trigonometric relationships (sine, cosine, tangent) and the Pythagorean theorem as needed.- **\(a\)**, **\(b\)**, and **\(c\)** represent the lengths of the sides.- **\(\alpha\)** and **\(\beta\)** represent the angles, with \(\alpha\) usually being the angle opposite side \(a\), and \(\beta\) being the angle opposite side \(b\).#### Example Sketch:- Draw a right triangle.- Label the sides \(a\), \(b\), and \(c\) where \(c\) is the hypotenuse.- Mark the angles \(\alpha\) and \(\beta\).Ensure to verify your work and check calculations for accuracy.

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Trigonometry

Solve each right triangle with the given sides and angles. In each case, make a sketch. Round approximate answers to the nearest tenth. 39. a = 6, b = 8 40. a = 10, c = 12 41. b = 6, c = 8.3 42. a = 32.4°, b = 10 43. a = 16°, c = 20 44. B = 47°, a = 3

Solve each right triangle with the given sides and angles. In each case, make a sketch. Round approximate answers to the nearest tenth. 39. a = 6, b = 8 40. a = 10, c = 12 41. b = 6, c = 8.3 42. a = 32.4°, b = 10 43. a = 16°, c = 20 44. B = 47°, a = 3

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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