Name: SC In the last lesson, we saw h of a right triangle to determ Exercise #1: Given the rig involving 24 and then use (Be good about your use of

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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### Solving for Missing Sides of a Right Triangle
#### Common Core Geometry

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**Name:** ____________________

**Date:** ______________

**Period:** ______________

---

In the last lesson, we saw how to use our calculator to evaluate the trigonometric ratios and how to use the sides of a right triangle to determine an acute angle. Let’s first review that process. 

**Exercise #1:** Given the right triangle shown below, set up a trigonometric ratio involving \( \angle A \) and then use it to find the measure of \( \angle A \) to the nearest degree. (Be good about your use of mathematical notation.)

**Diagram:**

The diagram shows a right triangle \( \triangle ABC \) with:
- \( \angle B = 90^\circ \)
- Side \( AB = 17 \)
- Side \( AC = 22 \)

The triangle has a right angle at \( \angle B \) and the hypotenuse \( AC \) measures 22 units while the leg \( AB \) measures 17 units.

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**Note:** Incorporate accurate mathematical notation and steps when setting up your trigonometric ratio to solve for \( \angle A \). Use tools such as calculators to ensure precision when evaluating trigonometric functions.
Transcribed Image Text:### Solving for Missing Sides of a Right Triangle #### Common Core Geometry --- **Name:** ____________________ **Date:** ______________ **Period:** ______________ --- In the last lesson, we saw how to use our calculator to evaluate the trigonometric ratios and how to use the sides of a right triangle to determine an acute angle. Let’s first review that process. **Exercise #1:** Given the right triangle shown below, set up a trigonometric ratio involving \( \angle A \) and then use it to find the measure of \( \angle A \) to the nearest degree. (Be good about your use of mathematical notation.) **Diagram:** The diagram shows a right triangle \( \triangle ABC \) with: - \( \angle B = 90^\circ \) - Side \( AB = 17 \) - Side \( AC = 22 \) The triangle has a right angle at \( \angle B \) and the hypotenuse \( AC \) measures 22 units while the leg \( AB \) measures 17 units. --- **Note:** Incorporate accurate mathematical notation and steps when setting up your trigonometric ratio to solve for \( \angle A \). Use tools such as calculators to ensure precision when evaluating trigonometric functions.
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