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
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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1cdeb34-1221-456d-8ac3-3a2864461602%2F9d9fd29c-6bc5-41c2-ac6e-4916702e7994%2Fxn9i48m.jpeg&w=3840&q=75)
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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