Solve the problem.A tower is supported by a guy wire  long. The wire makes an angle of  with respect to the ground, and the distance from the point where the wire is attached to the ground and the tower is  Approximate the height of the tower to the nearest tenth of a foot.

A. 489.2 ft
B. 391.8 ft
C. 531.3 ft
D. 332.5 ft


Answer: D

Mathematics

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Write in standard form the equation of the ellipse with the given characteristics.center at the origin, an x-intercept at (5, 0), and a y-intercept at (0, )

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Solve triangle, if possible. Round angles an side lengths to the nearest tenth when necessary.

A. No solution B. c ? 14.5, A ? 25.4°, B ? 33° C. c ? 17.4, A ? 27.4°, B ? 31° D. c ? 20.3, A ? 23.4°, B ? 35°

Mathematics

Identify the graph for the polar equation . ?

A. ?

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B. ?

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E. ?

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Mathematics

Solve.In 1985, the number of female athletes participating in Summer Olympic-Type Games was 450. In 1996, about 3650 participated in the Summer Olympics in Atlanta. Assuming that  and that the exponential model applies, find the value of k rounded to the hundredths place, and write the function.

A. k = 0.19; P(t) = 500e0.29t B. k = 0.21; P(t) = 500e0.21t C. k = 0.17; P(t) = 500e0.17t D. k = 0.19; P(t) = 500e0.19t

Mathematics