Answer:
56 meters.
Step-by-step explanation:
Please find the attachment.
Let the leaning tower's be h meters tall, when it was originally built.
We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.
Since we know that cosine relates the adjacent and hypotenuse of a right triangle.
[tex]\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
Upon substituting our given values we will get,
[tex]\text{Cos (4)}=\frac{55.86}{h}[/tex]
[tex]h=\frac{55.86}{\text{Cos (4)}}[/tex]
[tex]h=\frac{55.86}{0.99756405026}[/tex]
[tex]h=55.996\approx 56[/tex]
Therefore, the leaning tower was approximately 56 meters, when it was originally built.
