A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA) northwest to the cliff from his line of sight to the large tree. He measures the distance back to the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree east to ZA? What is the tangent of ZB , the angle at the cliff? Cif 075 mile 1.17 mile 40 Tree
A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA) northwest to the cliff from his line of sight to the large tree. He measures the distance back to the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree east to ZA? What is the tangent of ZB , the angle at the cliff? Cif 075 mile 1.17 mile 40 Tree
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
![9. A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south
from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around
the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and
the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA)
northwest to the cliff from his line of sight to the large tree. He measures the distance back to
the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree
east to ZA? What is the tangent of ZB , the angle at the cliff?
Clff
0.75 mile
1.17 mile
40
Tree](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5160d17-95be-4462-9118-8e334bc8557e%2Fe70951d7-c78c-49f3-9645-cb78f70ab865%2Fmb0wcg6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south
from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around
the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and
the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA)
northwest to the cliff from his line of sight to the large tree. He measures the distance back to
the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree
east to ZA? What is the tangent of ZB , the angle at the cliff?
Clff
0.75 mile
1.17 mile
40
Tree
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