Two people decide to estimate the height of a flag pole. One person positions himself due north of the pole and the other person stands due east of the pole. If the two people are the same distance from the pole and 23 feet from each other, find the height of the pole if the angle of elevation from the ground at each person's position to the top of the pole is 58° (see the figure). Apply the rules regarding the use of significant digits when determining your answer.

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Height of pole = __________ ft



Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Solve the problem.As Sunee improves her algebra skills, she takes 0.9 times as long to complete each homework assignment as she took to complete the preceeding assignment. If it took her 70 minutes to complete her first assignment, find how long it took her to complete the fifth assignment. Find the total time she took to complete her first five homework assignments. (Round to the nearest minute.)

A. 41 min; 241 min B. 46 min; 287 min C. 46 min; 241 min D. 41 min; 287 min

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Find the indicted product and simplify if possible.Measurements concerning the volume of liquid flowing through a valve result in the expression 

A. 3F5 - 3F4 + 12F3 - 4F2 + 4F - 16 B. 3F5 + 9F3 - 4F2 + 4F - 16 C. 3F5 - 3F4 + 12F3 - 4F2 - 4F - 16 D. 3F6 - 3F4 + 12F3 - 4F2 + 4F - 16

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Graph the parametric equation for the given interval. Add arrows to show how the curve is traced out. x = t2, y = 2t; -3 ? t ? 3

A.

B.

C.

D.

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Evaluate the given expression.x3 when x is -3.

A. -9 B. -27 C. -6 D. 9

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