Results 1 to 2 of 2

Math Help - Trigonometry problem

  1. #1
    Junior Member
    Joined
    Feb 2007
    Posts
    33

    Trigonometry problem

    Not sure how to do this problem:

    Find the other side and angle measures for the given right triangle:
    Name: HPJ
    Right Angle: H
    Given Data: m<J =29°51', j = 4651


    Thanks a lot.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,751
    Thanks
    651
    Hello,Trentt!

    Find the other sides and angles.
    Triangle PHJ
    Right Angle: H
    Given data: . \angle J = 29^o51',\;j = 4651
    Code:
          P
          *
          |  *
          |     *  h
     4651 |        *
          |           *
          |       29.85°-*
          * - - - - - - - - *
         H        p          J
    We know that: . \angle H = 90^o

    We have: . \angle J \:=\:29^o51' \:=\:29 +\frac{51}{60} \:=\:29.85^o

    Then: . \angle P \:=\:90^o - 29.85^o \:=\:60.15^o


    We have: . \begin{array}{ccccccc}J & = & 29.85^o & \qquad & k & = & 4651 \\<br />
P & = & \boxed{60.15^o} & & p & = & \boxed{\qquad} \\<br />
H & = & \boxed{90.00^o} & & h & = & \boxed{\qquad} \end{array}


    \tan P \:= \:\frac{p}{j}\quad\Rightarrow\quad p \:= \:j\!\cdot\tan P \:=\:4651\!\cdot\!\tan60.15^o \:\approx\:8104.7

    \sin J \:=\:\frac{j}{h}\quad\Rightarrow\quad h \:=\:\frac{j}{\sin J} \:=\:\frac{4651}{\sin29.85^o} \:\approx\:9344.4


    Therefore: . \begin{array}{ccccccc}J & = & 29.85^o & \qquad & k & = & 4651.0 \\<br />
P & = & \boxed{60.15^o} & & p & = & \boxed{8104.7} \\<br />
H & = & \boxed{90.00^o} & & h & = & \boxed{9344.4} \end{array}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. trigonometry problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: April 28th 2010, 12:06 AM
  2. trigonometry problem
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: December 24th 2009, 05:47 AM
  3. Trigonometry Problem
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: April 19th 2009, 08:55 AM
  4. Trigonometry problem.
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: July 13th 2008, 08:17 PM
  5. Trigonometry problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 16th 2007, 06:43 PM

Search Tags


/mathhelpforum @mathhelpforum