Geometry CC Fall 2022 Performance Exam must complete ALL parts to receive full credit. Unit 3: Right Triangles Jeffrey is determining the height of a building. He takes advantage of a nearby fire hydrant and the shadows that are cast on the ground. 38.2 M Shadow Building 25 ft 26 = XX $6% 17 Name: Date: 26 in. 25 Scoring Rubric Content Reasoning/Problem Solving Communication Fire Hydrant Shadow K-17 in- The fire hydrant is 26 inches tall, and the shadow cast by it is 17 inches long. The shadow cast by the building is 25 feet long, as shown above. Part A Determine the height of the building, h. Round your answer to the nearest foot. Show your work and explain how you found your answer. 6603178 KA Period: Total Points Points 123456 123456 123456 = 650 17 X= 38.2 Part B What is the value of z, the measure of the angle of elevation to the Sun? Round your answer to the nearest degree. Show your work and explain your answer. 56.3 tanz 39.2 25 = 56.8 tan2= 25 26 17

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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Geometry CC
Fall 2022 Performance Exam
must complete ALL parts to receive full credit.
Unit 3: Right Triangles
Jeffrey is determining the height of a building. He takes advantage of a
nearby fire hydrant and the shadows that are cast on the ground.
2h f
3g.
Shadow
Building
25 ft-
26 =
xx
Name:
Date:
26 in.
17
25
Scoring Rubric
Content
Fire
Hydrant
Reasoning/Problem
Solving
Communication
Shadow
K-17 in.-
Period:
The fire hydrant is 26 inches tall, and the shadow cast by it is 17 inches long. The shadow cast by the
building is 25 feet long, as shown above.
Part A
Determine the height of the building, h. Round your answer to the nearest foot. Show your work and explain
how you found your answer.
660
Total Points
Points
123456
1 2 3 4 5 6
123456
17x = 650
KA
X= 38.2
Part B.
What is the value of z, the measure of the angle of elevation to the Sun? Round your answer to the nearest
e degree. Show your work and explain your answer.
tan 2=
56.3
tanz
38.2
25
= 56.8
26
17
Transcribed Image Text:Geometry CC Fall 2022 Performance Exam must complete ALL parts to receive full credit. Unit 3: Right Triangles Jeffrey is determining the height of a building. He takes advantage of a nearby fire hydrant and the shadows that are cast on the ground. 2h f 3g. Shadow Building 25 ft- 26 = xx Name: Date: 26 in. 17 25 Scoring Rubric Content Fire Hydrant Reasoning/Problem Solving Communication Shadow K-17 in.- Period: The fire hydrant is 26 inches tall, and the shadow cast by it is 17 inches long. The shadow cast by the building is 25 feet long, as shown above. Part A Determine the height of the building, h. Round your answer to the nearest foot. Show your work and explain how you found your answer. 660 Total Points Points 123456 1 2 3 4 5 6 123456 17x = 650 KA X= 38.2 Part B. What is the value of z, the measure of the angle of elevation to the Sun? Round your answer to the nearest e degree. Show your work and explain your answer. tan 2= 56.3 tanz 38.2 25 = 56.8 26 17
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