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Maurinko [17]
2 years ago
11

Use the information in the figure to determine the height of the pole.

Mathematics
2 answers:
Zanzabum2 years ago
6 0

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Alexeev081 [22]2 years ago
5 0

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

combine like terms:

x² = -1/4x² - 6x + 864

1 1/4x² + 6x - 864 = 0

divide both sides of the equation by 1 1/4:

x² + 4.8x - 691.2 = 0

(x - 24)(x + 28.8) = 0

x = 24 ft

pole height = 24 + 5 = 29 ft

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