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Biology LibreTexts

2.8: Summary Questions

  • Page ID
    20254
  • 1. Determine the total heights of the trees illustrated below. Pay attention to the horizontal distances and slope scale used for each.

    2_1.a-1024x586.png
    2_1.b-1024x586.png
    2_1.c-1024x586.png
    2_1.d-1024x586.png
    2_1.e-1024x587.png

    2. How should the total height of the flat-topped tree below be determined?

    2_2-163x300.png

    3. Calculate the height of the leaner tree below.

    2_3.png

    Answers to Summary Questions

    1. A. 8db06982e112ee267f4156e9bf4f3aab.png(%slope)

    11c99e65bcfd8b64e3c9d6698e545cd9.png(137+11)

    rise (height)= 74 feet

    I.B. 05459e70f2431fc862cadf1ca32bb030.png(97+16)

    = 113 feet

    I.C. 487e3ae97ca4b7510f8f2314886d384e.png(107+12)

    = 143 feet

    I.D. 5467590dfc983882c6437f698be17ab2.png(Tslope)

    41bbf0daf745a68b4f3f9fe4c56eb825.png(101+8)

    rise (height) = 109 feet

    I.E. 0529bbb57095194634f6730dbe8401f7.png(90+10)

    = 50 feet

    2. The top of the tree will have to be reconstructed because of the broken top. This can be done by using a neighboring tree that is similar in size and taper as a reference.

    3. a. The rise of the fall line from the top of the tree to the ground = 5467590dfc983882c6437f698be17ab2.png(Tslope)

    5467590dfc983882c6437f698be17ab2.png(48+8)

    = 56 feet

    b. The horizontal distance from the base of the tree to the fall line is 54 feet. Thus we have two sides of the right triangle.

    Using the Pythagorean Theorem to determine the tree length (hypotenuse):

    a2 + b2 = c2 where:

    562 + 542 = c2

    6052 = c2

    dd2045d638c484ce133c6d90890946fc.png 78 feet

    2_3answer.png