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GenaCL600 [577]
2 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]2 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.
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(x stands for an unknown angle measure.) So the equation we would use is 136 + 2x = 180. We can solve this within a few steps.

1. We subtract 136 from 2x in order to isolate 2x. But if we subtract something from the left side of the equation, we have to subtract it from the right side too. Otherwise the equation will be wrong; We would be taking away the balance.

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