A researcher stands at the end of a lakeside pier, \(4.0 \mathrm{~m}\) above the water surface and \(6.0 \mathrm{~m}\) away from a buoy floating on the lake (Figure P33.56). A rope hangs from the bottom of the buoy down into the water, with a light attached to its end. When the researcher looks at the light from a position at which his line of sight intersects the water surface exactly halfway between the pier and the buoy, the light appears to be \(4.0 \mathrm{~m}\) below the water surface. How far under the surface is the light?

Data from Figure P33.56

Transcribed Image Text:

Figure P33.56 4.0 m 3.0 m 3.0 m 4.0 m