Results 1 to 2 of 2

Math Help - Angles problems

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    2

    Angles problems

    The angle of depression of a boat 50m from the base of a cliff is 30degree. How high is the cliff? Give your answer correct to 3 decimal places.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,707
    Thanks
    627
    Hello, sakibniaz!

    Did you make a sketch?


    The angle of depression of a boat 50m from the base of a cliff is 30.
    How high is the cliff? . Give your answer correct to 3 decimal places.
    Code:
        A * - - - - - - - - - - D
          |  *  30
          |     *
          |        *
        h |           *
          |              *
          |                 *
          |                30 *
        C *-----------------------* B
          : - - - - 50  - - - - - :

    The cliff is: h = AC

    The boat is at B\!:\;\;\angle DAB = 30^o
    .Hence: . \angle ABC = 30^o

    In right triangle ACB\!:\;\;\tan 30^o \:=\:\frac{h}{50}

    Now solve for h.

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. principle angles and related acute angles
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: December 19th 2011, 06:40 AM
  2. Replies: 3
    Last Post: September 5th 2010, 09:22 PM
  3. Replies: 1
    Last Post: January 7th 2009, 06:07 PM
  4. Replies: 2
    Last Post: April 17th 2008, 10:34 PM
  5. Replies: 3
    Last Post: July 10th 2007, 01:40 PM

Search Tags


/mathhelpforum @mathhelpforum