Now assume that the insect, instead of floating on the surface, is resting on a leaf above the water surface at a horizontal distance 0.600 m away from the fish. The archerfish successfully shoots down the resting insect by spitting water drops at the same angle 60∘ above the surface and with the same initial speed v as before. At what height h above the surface was the insect?

Question

Physics

Leia Weiss

4 October, 21:15

Now assume that the insect, instead of floating on the surface, is resting on a leaf above the water surface at a horizontal distance 0.600 m away from the fish. The archerfish successfully shoots down the resting insect by spitting water drops at the same angle 60∘ above the surface and with the same initial speed v as before. At what height h above the surface was the insect?

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Answers (1)

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Farrell · Answer 1

at 1 meter height

Explanation:

In this problem we can visualize it as a triangle, since the data that it is shown is the distance (0.6m) and the angle (60º) it can be drawn that the data provided is the angle and the adjacent leg.

With these data, it can be calculated the tangent, that is the relation among the two legs.

The opposite leg, then, will be calculated as the multiplication of the other leg and the tangent of the angle.

so o. l. = tan 60º x 0.6 m = 1.73 x 0.6 = 1.038 m