A rocket fired straight up is tracked by an observer on the ground 1 mi away. 1 mi (a) Show that when the angle of elevation is 0, the height of the rocket (in ft) is h = 5280 tan(0). From the figure, we see that tan(0) = mi' So h = (tan(0))

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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A rocket fired straight up is tracked by an observer on the ground 1 mi away.
-1 mi
(a) Show that when the angle of elevation is 0, the height of the rocket (in ft) is h = 5280 tan(0).
From the figure, we see that tan(0) =
so
mi'
(tan(0))(
mi)
h =
ft
(tan(0))(
mi
1 mi
ft.
(b) Complete the table to find the height of the rocket at the given angles of elevation. (Round your answers to the
nearest foot.)
35°
60°
65°
70°
h
ft
ft
ft
ft
Transcribed Image Text:A rocket fired straight up is tracked by an observer on the ground 1 mi away. -1 mi (a) Show that when the angle of elevation is 0, the height of the rocket (in ft) is h = 5280 tan(0). From the figure, we see that tan(0) = so mi' (tan(0))( mi) h = ft (tan(0))( mi 1 mi ft. (b) Complete the table to find the height of the rocket at the given angles of elevation. (Round your answers to the nearest foot.) 35° 60° 65° 70° h ft ft ft ft
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