You\'re standing 2.0 m horizontally from the edge of a 4.3 m -deep lake, with yo

Question

You're standing 2.0 m horizontally from the edge of a 4.3 m -deep lake, with your eyes 1.7 m above the water surface. A diver holding a flashlight at the lake bottom shines the light so you can see it.

Part A

If the light in the water makes a 43 angle with the vertical, at what horizontal distance is the diver from the edge of the lake?

Express your answer using two significant figures.

You're standing 2.0 m horizontally from the edge of a 4.3 m -deep lake, with your eyes 1.7 m above the water surface. A diver holding a flashlight at the lake bottom shines the light so you can see it.

Part A

If the light in the water makes a 43 angle with the vertical, at what horizontal distance is the diver from the edge of the lake?

Express your answer using two significant figures.

Explanation / Answer

From the diagram,

In the right angled triangle in the water

tan43 = x/4.3

x= 4.3*tan43 = 4.0 m

Total horizontal distance from the edge of the lake = x+2m = 4.0+2.0 = 6m

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