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If the tree grows an additional 10 feet, what is the new angle of elevation from the point 25 feet from the base of the tree to the top of the tree?.

Sagot :

Angle of elevation for the tree grows an additional 10 feet, what is the new angle of elevation from the point 25 feet is angle of elevation 47.1 degree.

Angle of elevation is the elevation in the height of angles from a given points.

Length of tree = 10 feet

  • Angle of elevation = 25 degrees
  • Equation for the peak of tree=?
  • Let x constitute the peak.
  • We recognize that tan Phi = Perpendicular / B * ase
  • tan = peak of tree/ duration of base
  • tan Phi = x / l
  • =>x=I^ * (tan phi)
  • x=10 ^ * tan(25 deg)
  • Now, setting values:
  • x=10 ^ * tan(25 deg)
  • x =10 ^ * 0.4663
  • x = 14.43feet
  • So, the equation to discover the peak is: x = 10 * tan(25 deg) and the peak is x = 47. 1 degree.

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