In order to determine an angle (such as the angle at which the Leaning Tower of Pisa leans), you need to investigate the relationship between the angles and the sides of a right triangle. You will start by studying slope triangles. Obtain the Lesson 3.2.1 Resource Page and locate the graph shown below. Notice that one slope triangle has been drawn for you. Note: For the next several lessons, angle measures will be rounded to the nearest degree. a. Draw three new slope triangles on the line. Each should be a different size. Label each triangle with as much information as you can, such as its horizontal and vertical lengths and its angle measures. b. Explain why all of the slope triangles on this line must be similar. c. Since the triangles are similar, what does that tell you about the slope ratios?

In order to determine an angle (such as the angle at which the Leaning Tower of Pisa leans), you need to investigate the relationship between the angles and the sides of a right triangle. You will start by studying slope triangles. Obtain the Lesson 3.2.1 Resource Page and locate the graph shown below. Notice that one slope triangle has been drawn for you. Note: For the next several lessons, angle measures will be rounded to the nearest degree. a. Draw three new slope triangles on the line. Each should be a different size. Label each triangle with as much information as you can, such as its horizontal and vertical lengths and its angle measures. b. Explain why all of the slope triangles on this line must be similar. c. Since the triangles are similar, what does that tell you about the slope ratios?

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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Question

In order to determine an angle (such as the angle at which the Leaning Tower of Pisa leans), you need to investigate the relationship between the angles and the sides of a
right triangle. You will start by studying slope triangles. Obtain the Lesson 3.2.1 Resource Page and locate the graph shown below. Notice that one slope triangle has been
drawn for you. Note: For the next several lessons, angle measures will be rounded to the nearest degree.
a. Draw three new slope triangles on the line. Each should be a different size. Label each triangle with as much information as you can, such as its horizontal and
vertical lengths and its angle measures.
b. Explain why all of the slope triangles on this line must be similar.
c. Since the triangles are similar, what does that tell you about the slope ratios?
Ay
d. Confirm your conclusion by writing the slope ratio for each triangle as a fraction, such as . (Note: Ay represents the vertical change or "rise", while Aæ represents
the horizontal change or "run".) Then change the slope ratio into decimal form and compare.

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