When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the boundary between the opposite wall and bottom of the ditch as in Figure (a) shown below. The distance from his eyes to the ground is h = 1.88 m. (Assume ? = 33.0°.) Figure a. A man of height h stands a horizontal distance d left of an empty rectangular drainage ditch of depth 2.80 m. A ray starts at the bottom right corner of the ditch, extends up and to the left to the upper left corner of the ditch, and then reaches the man's eyes. The ray forms an angle ? with the vertical. Figure b. A man of height h stands a horizontal distance xleft of a rectangular drainage ditch that is filled with water. A ray starts at the bottom right corner of the ditch and extends up and to the left to the upper left corner of the ditch at an angle ? with the vertical. Upon exiting the water, the ray bends to become less steep than the ray in water, and extends up and to the left to the man's eyes. (a) What is the horizontal distance d from the man to the edge of the drainage ditch? d = m (b) After the drainage ditch is filled with water as in Figure (b) shown above, what is the maximum distance x the man can stand from the edge and still see the same boundary? x = m

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter2: Motion

Section: Chapter Questions

Problem 1VC: Visualize the connections and give the descriptive motion answers in the blanks.

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When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the boundary between the opposite wall and bottom of the ditch as in Figure (a) shown below. The distance from his eyes to the ground is h = 1.88 m. (Assume ? = 33.0°.)

Figure a. A man of height h stands a horizontal distance d left of an empty rectangular drainage ditch of depth 2.80 m. A ray starts at the bottom right corner of the ditch, extends up and to the left to the upper left corner of the ditch, and then reaches the man's eyes. The ray forms an angle ? with the vertical.

Figure b. A man of height h stands a horizontal distance xleft of a rectangular drainage ditch that is filled with water. A ray starts at the bottom right corner of the ditch and extends up and to the left to the upper left corner of the ditch at an angle ? with the vertical. Upon exiting the water, the ray bends to become less steep than the ray in water, and extends up and to the left to the man's eyes.

(a) What is the horizontal distance d from the man to the edge of the drainage ditch?
d = m

(b) After the drainage ditch is filled with water as in Figure (b) shown above, what is the maximum distance x the man can stand from the edge and still see the same boundary?
x = m

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