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The largest Egyptian pyramid is 146.5 meters high. When Rowena stands far away from the pyramid her sight line to the top of the pyramid forms and angle of elevation of 20 degrees with the ground. What is the horizontal distance between the center of the pyramid and Rowena? Round to the nearest meter.

 Apr 14, 2014
 #1
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The largest Egyptian pyramid is 146.5 meters high. When Rowena stands far away from the pyramid her sight line to the top of the pyramid forms and angle of elevation of 20 degrees with the ground. What is the horizontal distance between the center of the pyramid and Rowena? Round to the nearest meter.

Let's use the tangent here...we have

tan(20º) = 146.5m / x....therefore,

x = 146.5m / tan(20) = 402.5m ≈ 403m

 Apr 14, 2014
 #2
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It's not possible to answer this question unless you are told the relative elevations of Rowena and the top or bottom of the pyramid. That is, is the ground totally flat so that Rowena's feet are on the same level as the base of the pyramid or are they on the same level as the top of the pyramid, or at some other height ?

 Apr 14, 2014

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