A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in Figure 3.69. At a certain moment, the angle 0 between the telescope and the ground is equal to and is changing at a rate of 0.9 rad/min. What is the rocket's velocity at that moment? y 6 km Figure 3.69: Tracking a rocket through a telescope.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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EXAMPLE 4 Tracking a Rocket
A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in Figure
3.69. At a certain moment, the angle 0 between the telescope and the ground is equal to and is changing
at a rate of 0.9 rad/min. What is the rocket's velocity at that moment?
y
6 km
Figure 3.69: Tracking a rocket through a telescope.
Transcribed Image Text:EXAMPLE 4 Tracking a Rocket A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in Figure 3.69. At a certain moment, the angle 0 between the telescope and the ground is equal to and is changing at a rate of 0.9 rad/min. What is the rocket's velocity at that moment? y 6 km Figure 3.69: Tracking a rocket through a telescope.
In Example 4 above, at what rate, measured in km/h, is the distance between the spy and the rocket
changing at that same instance? Round your answer to the nearest whole number. Do not enter km/h
Transcribed Image Text:In Example 4 above, at what rate, measured in km/h, is the distance between the spy and the rocket changing at that same instance? Round your answer to the nearest whole number. Do not enter km/h
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