A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three step rises, HA, FG, and DE, are congruent, and all three step runs, HG, FE, and DC, are congruent. Each step rise is perpendicular to the step run it joins. The measure of ZCAB = 36° and m 2 CBA = 90°." Slep run Step rise 36 de If each step run is parallel to AB and has a length of 10 inches, determine and state the length of each step rise, to the nearest tenth of an inch. Determine and state the length of AC, to the nearest inch.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 38A: Three pieces, each in the shape of a sector, are cut from the rectangular sheet of steel shown. How...
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A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three step rises,
HA, fG, and DE, are congruent, and all three step runs, HG, FE, and DC, are congruent. Each step rise is
perpendicular to the step run it joins. The measure of ZCAB = 36° and m 2 CBA = 90°.
Step run
E
Step
rise
G
36°
If each step run is parallel to AB and has a length of 10 inches, determine and state the length of each step rise,
to the nearest tenth of an inch.
Determine and state the length of AC, to the nearest inch.
100 Level
The diagonal of the square is 9-/Zunits long.
Calculate the perimeter of the entire figure. Explain.
62
3
28
Transcribed Image Text:A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three step rises, HA, fG, and DE, are congruent, and all three step runs, HG, FE, and DC, are congruent. Each step rise is perpendicular to the step run it joins. The measure of ZCAB = 36° and m 2 CBA = 90°. Step run E Step rise G 36° If each step run is parallel to AB and has a length of 10 inches, determine and state the length of each step rise, to the nearest tenth of an inch. Determine and state the length of AC, to the nearest inch. 100 Level The diagonal of the square is 9-/Zunits long. Calculate the perimeter of the entire figure. Explain. 62 3 28
Concept Quiz
Trigonometry
80 Level
What is the value of x for each triangle? Explain.
12
28
34
30.56
43°
22
90 Level
As modeled below, a movie is projected onto a large
outdoor screen. The bottom of the 60-foot-tall screen
is 12 feet off the ground. The projector sits on the
ground at a horizontal distance of 75 feet from the
60
screen.
Determine and state, to the nearest tenth of a
degree, the measure of 0, the projection angle.
12
75
Transcribed Image Text:Concept Quiz Trigonometry 80 Level What is the value of x for each triangle? Explain. 12 28 34 30.56 43° 22 90 Level As modeled below, a movie is projected onto a large outdoor screen. The bottom of the 60-foot-tall screen is 12 feet off the ground. The projector sits on the ground at a horizontal distance of 75 feet from the 60 screen. Determine and state, to the nearest tenth of a degree, the measure of 0, the projection angle. 12 75
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