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    A vertical pole AB stands on horizontal ground


    C is a point due south of B
    D is a point due east of B

    The angle of elevation of A from C is 40
    The angle of elevation of A from D is 35

    Calculate the distance CD Give your answer to 3 significant figures
  2. Offline

    Use triangle ABC to find BC
    Use triangle ABD to find BD

    Use triangle BCD to find CD

    All these are right angled triangles
    In the first 2 you have an angle and a side so use trig
    In the last you have 2 sides so use Pythagoras
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    As stated, you need to 'use triangle ABC to find BC', 'use triangle ABD to find BD and then 'use triangle BCD to find CD'. Here is my working out:


    tan x°= O/A
    tan 40°= 15/BC
    tan 40°*BC = 15
    BC = 15/tan 40°
    BC = 15/0.839
    BC = 17.876


    tan x°= O/A
    tan 35°= 15/BD
    tan 35°*BD = 15
    BD = 15/tan 35°
    BD = 15/0.7002
    BD = 21.422




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