A bird catches a fish, flies 100 yards upward in a straight line, and then drops the fish. The fish lands at a spot that is 50 y

Question

3 years ago

6

A bird catches a fish, flies 100 yards upward in a straight line, and then drops the fish. The fish lands at a spot that is 50 y

ards horizontally from the point where the bird caught it. What is the angle between the bird and the ground and what is the birds height from the ground when it drops the fish?

Mathematics

1 answer:

Marina CMI [18] · Answer 1 · 2022-08-16T00:28:19+03:00

Marina CMI [18]3 years ago

4 0

You can solve this using trigonometric functions.

The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°

The height of the bird before it dropped the fish is already given, which is 100 yards.