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19 May, 19:47

To calculate the height of a tree, Ryan measures the

angle of elevation from a rock on the ground to be 34°

He measures his distance from the rock on the ground

to the base of the tree to be 8 meters. How high is the

tree to the nearest tenth of a meter?

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Answers (1)
  1. 19 May, 20:06
    0
    The height of the tree is 5.4 m

    Step-by-step explanation:

    Let the height of the tree be 'h'

    Angle of elevation = 34°

    distance from the rock on the ground

    to the base of the tree = 8 m

    we can use the tan function of trigonometry to find the height of the tree,

    tan 34° = h/8

    tan 34° = 0.67

    tan 34° = h/8

    0.67 = h/8

    h = 8 x 0.67

    h = 5.4m

    The height of the tree is 5.4 m
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