Fireworks launched from point $S$S​ reach a maximum height at point $F$F​ . You are on a ship, about 0.01 mile above the water at point $E$E​ . When the ship reaches point $B$B​ , you can no longer see the fireworks because of the curvature of Earth. The radius of Earth is about 4000 miles and  $m\overarc{SB}=0.7\degree$m⌢ SB=0.7°​ . Find the maximum height of the fireworks to the nearest tenth.

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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MODELING REAL LIFE  Fireworks launched from point $S$S​ reach a maximum height at point $F$F​ . You are on a ship, about 0.01 mile above the water at point $E$E​ . When the ship reaches point $B$B​ , you can no longer see the fireworks because of the curvature of Earth. The radius of Earth is about 4000 miles and  $m\overarc{SB}=0.7\degree$m⌢ SB=0.7°​ . Find the maximum height of the fireworks to the nearest tenth.

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