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Concept Check In Exercise 69, for the rain gauge to collect the maximum amount of water, what should he true about
(Modeling) Measuring Rainfall Suppose that vector R models the amount of rainfall in inches and the direction it falls, and vector A models the area in square inches and the orientation of the opening of a rain gauge, as illustrated in the figure. The total volume V of water collected in the rain gauge is given by
V= |R · A|.
This formula calculates the volume of water collected even if the wind is blowing the rain in a slanted direction or the rain gauge is not exactly vertical. Let R = i - 2j and A = 0.5i + j.
(a) Find | R | and | A | to the nearest tenth. Interpret the results.
(b) Calculate V to the nearest tenth, and interpret this result.
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Chapter 7 Solutions
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