In Exercises 7-9, solve the right triangle. Round decimal answers to the nearest tenth. 7. P 8. D 9. A R 22 52 ft 32° 37° Q 32° 10. Use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot. 52 ft 28 32° 19 E 32° 52 ft 32° 14 32° 51° B S

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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I don't get how to get the sides for number 9.

**Trigonometry Exercises and Problems**

1. **The tangent of the angle is \(\frac{15}{8}\).**

---

**In Exercises 4–6, let \( \angle B \) be an acute angle. Use a calculator to approximate the measure of \( \angle B \) to the nearest tenth of a degree.**

4. \( \sin B = 0.64 \)

5. \( \cos B = 0.12 \)

6. \( \tan B = 2.18 \)

---

**In Exercises 7–9, solve the right triangle. Round decimal answers to the nearest tenth.**

7. Right triangle \( \triangle PRQ \) with:
   - Hypotenuse \( PR = 22 \)
   - Angle \( \angle R = 37^\circ \)

8. Right triangle \( \triangle DEF \) with:
   - Hypotenuse \( DE = 28 \)
   - Side \( DF = 19 \) (opposite angle \( \angle E \))

9. Right triangle \( \triangle ABC \) with:
   - Side \( AC = 14 \)
   - Angle \( \angle B = 51^\circ \)

---

10. **Use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot.**

The diagram represents a portion of a suspension bridge with consecutive triangular sections. Each triangular section has:
- A base of \(52 \text{ ft}\)
- Angles of \(32^\circ\)

Use trigonometric methods to calculate the total distance across these sections, summing up the horizontal components of each triangle.
Transcribed Image Text:**Trigonometry Exercises and Problems** 1. **The tangent of the angle is \(\frac{15}{8}\).** --- **In Exercises 4–6, let \( \angle B \) be an acute angle. Use a calculator to approximate the measure of \( \angle B \) to the nearest tenth of a degree.** 4. \( \sin B = 0.64 \) 5. \( \cos B = 0.12 \) 6. \( \tan B = 2.18 \) --- **In Exercises 7–9, solve the right triangle. Round decimal answers to the nearest tenth.** 7. Right triangle \( \triangle PRQ \) with: - Hypotenuse \( PR = 22 \) - Angle \( \angle R = 37^\circ \) 8. Right triangle \( \triangle DEF \) with: - Hypotenuse \( DE = 28 \) - Side \( DF = 19 \) (opposite angle \( \angle E \)) 9. Right triangle \( \triangle ABC \) with: - Side \( AC = 14 \) - Angle \( \angle B = 51^\circ \) --- 10. **Use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot.** The diagram represents a portion of a suspension bridge with consecutive triangular sections. Each triangular section has: - A base of \(52 \text{ ft}\) - Angles of \(32^\circ\) Use trigonometric methods to calculate the total distance across these sections, summing up the horizontal components of each triangle.
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