### Using Trigonometry to Solve Right Triangles**Instructions:** Use trigonometry with each of the following problems. **DO NOT USE THE PYTHAGOREAN THEOREM!** Read and follow each set of directions.1. **Problem 1:** - **Task:** Use only trigonometry to solve a right triangle with right angle \( C \) and \( a = 14.57 \) cm and angle \( B = 20.35^\circ \). Sketch the triangle and show all work. Round all your answers to the nearest hundredth. - **Details to Fill In:** - \( m \angle A = \) ________ - \( b = \) ________ - \( c = \) ________2. **Problem 2:** - **Task:** Use only trigonometry to solve a right triangle with right angle \( C \) and \( c = 4.9 \) cm and \( b = 2.4 \) cm. Sketch the triangle and show all work. Round all your answers to the nearest tenth. - **Details to Fill In:** - \( m \angle A = \) ________ - \( m \angle B = \) ________ - \( a = \) ________3. **Problem 3:** - **Task:** Use only trigonometry to solve a right triangle with right angle \( C \) and \( c = 9.7 \) cm and \( m \angle A = 47.2^\circ \). Sketch the triangle and show all work. Round all your answers to the nearest tenth. - **Details to Fill In:** - \( m \angle B = \) ________ - \( a = \) ________ - \( b = \) ________4. **Problem 4:** - **Task:** A security camera is to be mounted on the wall of the downtown Bank of America so as to have a good view of the head teller. The security team noted that the wall is 15 feet from where the head teller stands, and they suggested that the best height for the camera on the wall would be 7.2 feet high. Draw a picture to model this problem, and then find the angle of depression, to the nearest tenth of a degree, of the camera lens that fits the security team’s suggestions.

" According to the guidelines issued by the company we are supposed to answer only one question.…

Use trigonometry with each of the following problems. DO NOT USE THE PYTHAGOREAN THEOREM! Read and follow each set of directions. 1. Use only trigonometry to solve a right triangle with right angle C and a = 14.57 cm and angle B = 20.35°. Sketch the triangle and show all work. Round all your answers to the nearest hundredth. m

Use trigonometry with each of the following problems. DO NOT USE THE PYTHAGOREAN THEOREM! Read and follow each set of directions. 1. Use only trigonometry to solve a right triangle with right angle C and a = 14.57 cm and angle B = 20.35°. Sketch the triangle and show all work. Round all your answers to the nearest hundredth. m

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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