A ship on the horizon at point A sees a lighthouse on a hill. The distance from the ship to the to of the lighthouse is 639 feet, and the top of the lighthouse is 144 above the horizon. The line o sight from the ship to the bottom of the lighthouse forms an 18° angle with the horizon. 1. Find the distance from the ship to the lighthouse (x). 2. Find the angle of elevation from the ship to the top of the lighthouse. 3. Find the distance from the ship to the bottom of the lighthouse (y).

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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Use the accompanying diagram to answer the questions that follow.
144 feet
X
y
639 feet
19
0
18°
A
bill
The distango from the ship to the ton
Transcribed Image Text:Use the accompanying diagram to answer the questions that follow. 144 feet X y 639 feet 19 0 18° A bill The distango from the ship to the ton
A ship on the horizon at point A sees a lighthouse on a hill. The distance from the ship to the to
of the lighthouse is 639 feet, and the top of the lighthouse is 144 above the horizon. The line of
sight from the ship to the bottom of the lighthouse forms an 18° angle with the horizon.
1. Find the distance from the ship to the lighthouse (x).
2. Find the angle of elevation from the ship to the top of the lighthouse.
3. Find the distance from the ship to the bottom of the lighthouse (y).
Transcribed Image Text:A ship on the horizon at point A sees a lighthouse on a hill. The distance from the ship to the to of the lighthouse is 639 feet, and the top of the lighthouse is 144 above the horizon. The line of sight from the ship to the bottom of the lighthouse forms an 18° angle with the horizon. 1. Find the distance from the ship to the lighthouse (x). 2. Find the angle of elevation from the ship to the top of the lighthouse. 3. Find the distance from the ship to the bottom of the lighthouse (y).
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