It takes a plane flying at 150 km/h 3.0 minutes to circle around a cloud at an altitude of 3000m. What is the diameter of the cloud?
I see now that my question was already answered.
150/3 = 50
To find the diameter of the cloud, we can start by calculating the distance traveled by the plane during the 3.0 minutes it takes to circle the cloud.
First, let's convert the speed of the plane from km/h to m/s:
150 km/h = 150,000 m/60 minutes = 2,500 m/minute = 41.67 m/s.
Next, we need to calculate the distance traveled by the plane during the 3.0 minutes:
Distance = speed × time = 41.67 m/s × 3.0 minutes = 125.01 meters.
Since the plane circles around the cloud, the distance traveled by the plane is equal to the circumference of the circle. The formula for the circumference of a circle is:
Circumference = 2 × π × radius.
To find the diameter, we can divide the circumference by π:
Diameter = Circumference / π = (2 × π × radius) / π.
Since the distance traveled by the plane is equal to the circumference, we have:
Diameter = 125.01 meters / π.
Now we can calculate the diameter of the cloud:
Diameter ≈ 39.75 meters.
Therefore, the diameter of the cloud is approximately 39.75 meters.