Answer:
Figure is not accurate but i drew AE such that it is equal to BD and ED is equal to AB and AE is perpendicular to CD. And also ABDE is a rectangle.
Explanation:
CD:AB
or, let CD be x
now
CD:AB= 1.5:1
or, x : 1.7 = 1.5 : 1
or, x/1.7 = 1.5/1
or, x = 2.6 m
CD = 2.6 m
ED=AB=1.7 m
now
CD = CE + ED
or, 2.6m =CE + 1.7m
or, CE = 2.6 m - 1.7 m
so, CE = 0.9 m
now
triangle CEA is a right angled triangle,
In triangle CEA, taking 52 as reference angle
tan52° = p/b
or,tan52° = CE/AE
or, tan52° = 0.9/AE
or, AE = 0.9/tan52°
so, AE = 0.7
now
AE = BD (given in the figure i uploaded)
so, BD = 0.7 m