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SIZIF [17.4K]
2 years ago
6

a math student is standing 40 feet from the base of a water tower. the angle of elevation from her horizontal line of sight is 7

2 degrees. If her "eye height" is 5 feet, how tall is the water tower? Round to the nearest foot.​
Mathematics
1 answer:
Lerok [7]2 years ago
4 0

9514 1404 393

Answer:

  128 ft

Step-by-step explanation:

The height of the tower above eye-height is related to the angle by ...

  Tan = Opposite/Adjacent

  tan(72°) = (tower height above eye height)/(40 ft)

  tower height above eye height = (40 ft)×tan(72°) = 123 ft

Since eye height is 5 ft, the total height of the tower from the ground is ...

  tower height = eye height + height above eye height

  tower height = 5 ft + 123 ft

  tower height = 128 ft

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