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anonymous

  • 4 years ago

At two points 65 feet apart on the same side of a tree and in line with it, the angles of elevation of the top of the tree are 21 degrees 19 minutes and 16 degrees 20 minutes, respectively. Find the height of the tree.

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  1. y2o2
    • 4 years ago
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    |dw:1328479347463:dw|

  2. y2o2
    • 4 years ago
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    (bdc) = 180 - 21°19' = 158°41' (dbc) = 180 - (158°41' + 16°20') = 4°59' Use sine law: bd/sin(16°20') = 65/sin(4°59') bd = 210.435 Feet ba = bd sin(21°19') = 210.435 * sin(21°19') ~ 76.5 feet

  3. anonymous
    • 4 years ago
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    Thank you so much!

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