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Sagot :
Not Answer:
8
Step-by-step Non-explanation:
The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4. So the rocket will reach its maximum height after 4 seconds.
The approximate maximum height of the rocket's path is 597.13 meters.
How to elaborate the problem ?
Observer sees the rocket 160 meter away from the place where rocket launched.
75° is the angle between observer and rocket, when the rocket reaches its maximum height.
Here, if we assume a triangle whose base = distance between rocket launch point and the observer.
Height = Maximum height of the rocket
How to calculate the maximum height of the rocket ?
Here, Base = 160 meter & let, maximum height = h
tan 75° = [tex]\frac{height}{base}[/tex]
⇒ tan 75° = [tex]\frac{h}{160}[/tex]
⇒ h = 160 tan 75°
⇒ h = 597.13 (approx)
The maximum height of the rocket is 597.13 meters (approx).
Learn more about Height base problem here :
https://brainly.com/question/27565225
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