2. 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. m

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section: Chapter Questions
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### Trigonometry Educational Exercises

#### Instructions
Use trigonometry with each of the following problems. **DO NOT USE THE PYTHAGOREAN THEOREM!** Read and follow each set of directions.

---

### Problem 1
**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.

- \( \angle A = \_\_\_\_\_ \)
- \( b = \_\_\_\_\_\_\_\_\_ \)
- \( c = \_\_\_\_\_\_\_\_\_ \)

---

### Problem 2
**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.

- \( \angle A = \_\_\_\_\_ \)
- \( \angle B = \_\_\_\_\_ \)
- \( a = \_\_\_\_\_\_\_\_\_ \)

---

### Problem 3
**Use only trigonometry** to solve a right triangle with right angle C and \( c = 9.7 \) cm and \( \angle A = 47.2^\circ \). Sketch the triangle and show all work. Round all your answers to the nearest tenth.

- \( \angle B = \_\_\_\_\_ \)
- \( a = \_\_\_\_\_\_\_\_\_ \)
- \( b = \_\_\_\_\_\_\_\_\_ \)

---

### Problem 4
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. Draw a picture to represent this problem and show your work.

---

This exercise set is designed to help students
Transcribed Image Text:### Trigonometry Educational Exercises #### Instructions Use trigonometry with each of the following problems. **DO NOT USE THE PYTHAGOREAN THEOREM!** Read and follow each set of directions. --- ### Problem 1 **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. - \( \angle A = \_\_\_\_\_ \) - \( b = \_\_\_\_\_\_\_\_\_ \) - \( c = \_\_\_\_\_\_\_\_\_ \) --- ### Problem 2 **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. - \( \angle A = \_\_\_\_\_ \) - \( \angle B = \_\_\_\_\_ \) - \( a = \_\_\_\_\_\_\_\_\_ \) --- ### Problem 3 **Use only trigonometry** to solve a right triangle with right angle C and \( c = 9.7 \) cm and \( \angle A = 47.2^\circ \). Sketch the triangle and show all work. Round all your answers to the nearest tenth. - \( \angle B = \_\_\_\_\_ \) - \( a = \_\_\_\_\_\_\_\_\_ \) - \( b = \_\_\_\_\_\_\_\_\_ \) --- ### Problem 4 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. Draw a picture to represent this problem and show your work. --- This exercise set is designed to help students
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