A 10-foot ladder is placed against the side of a building as shown in figure 1 below. The bottom of the ladder is 8 feet from the base of the building. In order to increase the reach of the ladder against the building, it is moved 4 feet closer to the base of the building as shown in figure 2. 10 ft 10 ft -8 t 4 t- Figure 2 Figure 1 To the nearest foot, how much further up the building does the ladder now reach? Show how you arrived at your answer.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 37E: The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent...
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Type out your work and answer. Apply what you know about the Pythagorean Theorem to solve the challenge problem below. Be sure to type out everything.

A 10-foot ladder is placed against the side of a
building as shown in figure 1 below. The bottom
of the ladder is 8 feet from the base of the building.
In order to increase the reach of the ladder against
the building, it is moved 4 feet closer to the base of
the building as shown in figure 2.
10 ft
10 ft
-8 t
4 t-
Figure 2
Figure 1
To the nearest foot, how much further up the
building does the ladder now reach? Show how
you arrived at your answer.
Transcribed Image Text:A 10-foot ladder is placed against the side of a building as shown in figure 1 below. The bottom of the ladder is 8 feet from the base of the building. In order to increase the reach of the ladder against the building, it is moved 4 feet closer to the base of the building as shown in figure 2. 10 ft 10 ft -8 t 4 t- Figure 2 Figure 1 To the nearest foot, how much further up the building does the ladder now reach? Show how you arrived at your answer.
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