7. Figure 4 shows a survey of a building which forms a quadrilateral ABCD
Calculate a) the length of the diagonals - AC and BD
b) the area of the plot ABCD
Please see attachment for diagrams.© BrainMass Inc. brainmass.com October 10, 2019, 6:20 am ad1c9bdddf
AC^2 = AB^2 + BC^2 - 2*AB*BC*cos(65)
=> AC = sqrt(21.4^2 + 29.6^2 - 2*21.4*29.6*cos(65)) = 28.26 --ANSWER
To estimate BD:
AC^2 = AD^2 + DC^2 - 2 * AD * DC * cos(ADC) = AB^2 + BC^2 - 2*AB*BC*cos(65)
=> 2*AD*DC*cos(ADC) = AD^2 + DC^2 - AB^2 - BC^2 ...
Estimation of length of diagonals of a quadrilateral and area of the quadrilateral is given in the solution.