Use trigonometry with each of the following problems. DO NOT USE THE PYTHAGOREAN THEOREM! Show all work. Round to the nearest whole number. 34 11 39° B B AC- CB- ZA= AB" CB- ZA= 3. AC- ZB= B. 13 19 AC- AB= ZB= 63 23° 15 B
Use trigonometry with each of the following problems. DO NOT USE THE PYTHAGOREAN THEOREM! Show all work. Round to the nearest whole number. 34 11 39° B B AC- CB- ZA= AB" CB- ZA= 3. AC- ZB= B. 13 19 AC- AB= ZB= 63 23° 15 B
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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Question
Transcribed Image Text:**Title: Trigonometry Problems for Educational Practice**
**Instructions:**
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:**
- Diagram: Right triangle with legs AC = 11 units, angle ∠C = 39°.
- Find:
- AB =
- CB =
- ∠A =
**Problem 2:**
- Diagram: Right triangle with leg AC = 34 units, angle ∠C = 23°.
- Find:
- AC =
- CB =
- ∠A =
**Problem 3:**
- Diagram: Right triangle with one leg BC = 13 units, hypotenuse AB = 19 units.
- Find:
- AC =
- ∠A =
- ∠B =
**Problem 4:**
- Diagram: Right triangle with leg CB = 15 units, angle ∠A = 63°.
- Find:
- AC =
- AB =
- ∠B =
**Problem 5:**
- Diagram: Right triangle with leg AC = 12 units, leg AB = 5 units.
- Find:
- AB =
- ∠A =
- ∠B =
**Problem 6:**
- Diagram: Right triangle with hypotenuse AB = 25 units, leg BC = 7 units.
- Find:
- AC =
- ∠A =
- ∠B =
**Problem 7:**
When a hockey player is 35 feet from the goal line, he shoots the puck directly at the goal. The angle of elevation at which the puck leaves the ice is 7°. The height of the goal is 4 feet. Will the player score a goal?
---
**Explanation of Diagrams:**
Each problem is depicted with a diagram of a right triangle, illustrating the given lengths of sides and angles. The right angle is denoted by a square symbol at the vertex. The problems require the use of trigonometric functions (sine, cosine, tangent) to solve for the missing sides and angles, given the provided measurements.
- **Problem 1:** Triangle 1 is given with AC and an angle, requiring use of trigonometric ratios to find AB, CB
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