Question

The Tower of Pisa is well known worldwide for how it leans,

Answer 1

Answer:

The tower is approximately 57.34 meters long

Step-by-step explanation:

The given parameters are;

The type of triangle formed by ΔABC = Non-right triangle

The measure of ∠ACB = 55°

The horizontal displacement of the tower, BX = 5 m

The length of BC = 45 m

Therefore, we have;

Triangle ΔABC type = Right triangle

By the tangent to an acute angle, θ, in a right triangle, we have;

$Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}$

Where θ is the 55°, we have angle, we have;

$Tan(55^{\circ}) = \dfrac{XA}{XC}$

BC = BX + XC

∴ XC = BC - BX

XC = 45 m - 5 m = 40 m

$\therefore Tan(55^{\circ}) = \dfrac{XA}{40}$

XA = 40 × tan(55°) ≈ 57.126

The type of triangle formed by ΔABX = Right triangle

According to Pythagoras theorem, AB² = XA² + BX²

∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34

The length of the tower, AB ≈ 57.34 m