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3. Marie planted a tree a few years ago and wanted to see how much it had grown. Marie
measures the angle from a point A to the top of the tree to be 34 degrees. She measures her
distance to be 8 meters from the base of the tree. How high is the tree to the nearest tenth of a
meter?

Respuesta :

mhanifa

Answer:

  • 5.4 m

Step-by-step explanation:

Given

  • The top of the tree, the point A and the base form a right triangle
  • Horizontal leg = 8 m
  • Vertical leg = the height of the tree = x
  • Angle A = 34° is opposite to the three

Use the ratio to find the value of x:

  • opposite / adjacent = tan A
  • x/8 = tan 34°
  • x = 8 tan 34 degree
  • x = 5.4 m (rounded)

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