Answer:
Difference in the heights of the columns = 59 ft
Step-by-step explanation:
Measure of side AS = 805 ft
Measure of side AN = 846 ft
From ΔABS,
sin(51°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(51°) = [tex]\frac{SB}{AS}[/tex]
sin(51°) = [tex]\frac{SB}{805}[/tex]
SB = 805×sin(51°)
SB = 625.60 ft
Similarly, from ΔACN,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{CN}{AN}[/tex]
CN = ANsin(54°)
CN = 846×sin(54°)
CN = 684.43 ft
Difference in the heights of the columns = CN - SB
= 684.43 - 625.60
= 58.83 ft
≈ 59 ft
