The height of a radio tower is 400 feet, and the ground on one side of the tower slopes upward at an angle of 10°. (a) How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 140 feet from the base of the tower? (b) How long should a second guy wire be if it is to connect to the middle of the tower and be secured at a point 140 feet from the base on the flat side? (a) What is the length of the first guy wire? ... feet (Do not round until the final answer. Then round to one decimal place as needed.) 400 ft 140 ft 140 ft 10

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.5: Special Right Triangles
Problem 25E: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft...
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The height of a radio tower is 400 feet, and the ground on one side of the tower slopes
upward at an angle of 10°.
(a) How long should a guy wire be if it is to connect to the top of the tower and be
secured at a point on the sloped side 140 feet from the base of the tower?
(b) How long should a second guy wire be if it is to connect to the middle of the tower and
be secured at a point 140 feet from the base on the flat side?
(a) What is the length of the first guy wire?
feet
(Do not round until the final answer. Then round to one decimal place as needed.)
400 ft
140 ft
140 ft
10
Transcribed Image Text:The height of a radio tower is 400 feet, and the ground on one side of the tower slopes upward at an angle of 10°. (a) How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 140 feet from the base of the tower? (b) How long should a second guy wire be if it is to connect to the middle of the tower and be secured at a point 140 feet from the base on the flat side? (a) What is the length of the first guy wire? feet (Do not round until the final answer. Then round to one decimal place as needed.) 400 ft 140 ft 140 ft 10
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