A meteorologist measures the angle of depression of a weather balloon as 53 degrees
A radio signal from the balloon indicates that it is 1680 feet from his receiver. How high is the weather balloon from the ground?
To find the height of the weather balloon from the ground, we can use trigonometry.
Let's denote the height of the weather balloon from the ground as h and the horizontal distance from the meteorologist to the weather balloon as d.
From the information given, we have the angle of depression as 53 degrees and the distance from the receiver to the weather balloon as 1680 feet.
We can use the tangent function to relate the angle of depression with the height and the distance:
tan(53 degrees) = h / 1680 feet
Now, we can solve for h:
h = 1680 feet * tan(53 degrees)
h = 1680 feet * 1.395
h ≈ 2341.6 feet
Therefore, the weather balloon is approximately 2341.6 feet high from the ground.