The turnbuckle on cable AD is adjusted so that cable AD applies a tensile force of $950$ lb to point $A.$ Determine the resulting tensions in cables $AB$ and $AC,$ and determine the compressive force apsied by tower AE to point $A.$

$($Hint: When you draw a FBD of point $A,$ all three cables pull on point $A,$ and tower $AE$ pushes on point A$.$ Therefore, on the FBD of point $A,$ all three cables will be pointed away from point $A,$ but the vertical force applied by the tower to point A will be pushing on point A$.)$