In the figure below the distance from A to D is y the distan

In the figure below, the distance from A to D is y, the distance from D to C is x, and the distance from A to B is h. Use the figure to solve for the following variables. Round to the nearest tenth. If A = 40 degree, angle BDC = 63 degree, h =18, then BC bar = x =

Solution

sinA=BC_/AB

sinA=BC_/h

sin40^o=BC_/18

BC=18sin40^o

BC=11.57

BC=11.6

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tanBDC= BC_/CD

tan63^o= 11.57_/x

x=11.57_/tan63^o

x=5.8953

x=5.9