You see a well and wonder if there is water in it. Part A How should you hold a

Question

You see a well and wonder if there is water in it.

Part A

How should you hold a small mirror to see the well's bottom? The Sun's rays are hitting the ground at an angle of 58? above the horizontal.

Part B

Assume the well is d = 1.0 m in diameter and h = 4.0m deep. Find the angle of the mirror's normal with respect to the horizontal.

Express your answer using two significant figures.

You see a well and wonder if there is water in it. Part A How should you hold a small mirror to see the well's bottom? The Sun's rays are hitting the ground at an angle of 58? above the horizontal. Part B Assume the well is d = 1.0 m in diameter and h = 4.0m deep. Find the angle of the mirror's normal with respect to the horizontal. Express your answer using two significant figures.

Explanation / Answer

Light from the sun should get reflected towards the bottom of the well, which is happening in OPTION B. [ANSWER, PART A]

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To reach the bottom,

tan(theta_r) = 0.5/4

Thus,

theta_r = 7.125 degrees

By some geometry,

theta_m + theta_s + theta_m + theta_r = 90

Plugging in values and solving for theta_m,

theta_m = 12.43 degrees   [ANSWER, PART B]

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