An airplane, flying at an altitude of 6 miles, is on a flight path that goes directly over you. If θ is the angle of elevation,
find the distance from the observer to the plane. Note, the picture below is not to scale. Find the distance from the person to the plane if θ = 30° (without a calculator, show all work).
1 answer:
Answer:
Distance between the person and the plane is 12 miles
Step-by-step explanation:
From the figure attached,
An airplane is flying at an altitude AB = 6 miles.
An observer is standing at point C from where he observes the plane at an angle of elevation θ
Therefore, sinθ =
sinθ =
AC =
AC = 6cosecθ
If angle θ = 30°
Then AC = 6cosec30
AC = 6×2
AC = 12 miles
Therefore, distance between the person and the plane is 12 miles.
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Answer:
The height of rocket is 102.7 meter.
Step-by-step explanation:
Given : Brynn and Denise launch their rockets at the same time.
The height of Brynn’s rocket, in meters, is given by the function , where x is the number of seconds after the launch.
The height of Denise’s rocket, in meters, is given by the function
, where x is the number of seconds after the launch.
There is a moment when the rockets are at the same height.
To find : The height
Solution :
When the rockets have same height
So,
Now, we put x value in any of the function to find height.
, x=1.52
Nearest tenth = 102.7
Therefore, The height of rocket is 102.7 meter.