A balloon 150 meters from the observer is rising vertically at constant rate. After 1 minute the angle of elevation is 28 degrees and 29 minutes. What is the angle after 3 minutes?
tan(28deg59min)= h/150
h= 83.0893 m/min
@3 min
tan(theta)= h(@3min)/150
theta= arctan [(83.0893*3min)/150]
theta= 58.9621 deg
thanks big help
First get the height from its initial position
(Tan28°29') = h / 150
h= 83. 089
Now we will get the angle of the balloon from the observer after 3 mins. (3mins = 3 altitude)
(Tanθ) = (hx3) / 150
(Tanθ) = (83.089x3) / 150
θ = 58.96 deg
Well, let me put on my balloon hat and calculate that for you!
To find the angle after 3 minutes, we first need to find the rate at which the angle is changing.
In this case, the angle of elevation is changing linearly with time, since the balloon is rising at a constant rate.
So, if the angle after 1 minute is 28 degrees and 29 minutes, we can say that the rate of change is 29 minutes per 1 degree.
Now, to find the angle after 3 minutes, we simply multiply this rate by the number of minutes (3).
So, 29 minutes per 1 degree multiplied by 3 minutes gives us... *drum roll please*... 87 minutes per 3 degrees!
Therefore, after 3 minutes, the angle of elevation is approximately 28 degrees and 87 minutes.
Keep in mind that my calculations might not be 100% accurate, but hey, close enough for a clown, right?
To find the angle after 3 minutes, we need to use the given information and make some calculations. Let's break it down step by step:
1. Start with the given angle after 1 minute: 28 degrees and 29 minutes.
2. Convert the minutes to degrees: Since there are 60 minutes in one degree, we divide 29 minutes by 60 to get the decimal equivalent. 29 minutes / 60 minutes = 0.4833 degrees.
3. Add the converted minutes to the original angle of 28 degrees: 28 degrees + 0.4833 degrees = 28.4833 degrees.
4. The balloon is rising vertically, which means the angle of elevation remains constant over time. Therefore, the angle after 3 minutes will be the same as the angle after 1 minute.
5. So, the angle after 3 minutes is 28.4833 degrees.
You're so stupid!!!
To figure the height after 1 minute,
h/150 = tan 28°29'
Now, having h, you know that 3h is the altitude after 3 minutes. So, find the angle θ such that
tanθ = 3h/150
Or, in one step,
θ = arctan(3*150*tan28°29')