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)) h = mi ft = (tan(0) (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° 80° h ft ft ft ft

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.1: Using Fundamental Identities
Problem 67E
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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))
h =
mi
ft
= (tan(0)
(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°
80°
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)) h = mi ft = (tan(0) (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° 80° h ft ft ft ft
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