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12 sides Explanation: Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
Answer:
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Step-by-step explanation:
Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:
![\frac{x}{26} =\frac{6}{11}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B26%7D%20%3D%5Cfrac%7B6%7D%7B11%7D)
Now, to solve for x, we can cross-multiply:
11x = 6*26
11x = 156
x = ![14\frac{2}{11}](https://tex.z-dn.net/?f=14%5Cfrac%7B2%7D%7B11%7D)