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11 : 5 : Please help me answer this question: Item 5 In searching the bottom of

ID: 1385410 • Letter: 1

Question

11 : 5 : Please help me answer this question:

Item 5 In searching the bottom of a pool at night, a watchman shines a narrow beam of light from his flashlight, 1.3 m above the water level, onto the surface of the water at a point 2.5 m from his foot at of 1 Figure 1 1.3 m 2.5 m 2.1 m Part A Where does the spot of light hit the bottom of the pool, measured from the bottom of the wall beneath his foot, if the pool is 2.1 m deep? Express your answer to two significant figures and include the appropriate units. Value Units Submit My Answers Give U rovide Feedback Continue

Explanation / Answer

We find the angle of incidence from the distances

tan ?1 = l1 /h1

= 2.5m 1.3m

= 1.9231,

?1 = 62.53? .

For the refraction from air into water, we have

nair sin ?1 = nwater sin ?2,

sin ?2 = 1.00 1.33 sin 62.53?

? ?2 = 41.84?

We find the horizontal distance from the edge of the pool from

l = l1 + l2 =

l1 + h2 tan ?2

l= 2.5m + 2.1m tan 41.84?

l= 4.4m

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