Question

The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 107 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 28.6°. Find the length of the tower to the nearest meter. m

Answer 1

Answer:

$l=56m$

Step-by-step explanation:

From the question we are told that:

Angle from vertical $\theta =5.6$

Horizontal Distance $d=107m$

Angle of elevation $\gamma=28.6$

Generally the Trigonometric equation for exterior angles is mathematically given by

$Exterior\ angles=\sum of\ two\ interior\ angles$

Where

$Exterior angles=90 \textdegree +5.6 \textdegree$

Therefore

$90 \textdegree +\theta \textdegree=\omega+\gamma$

$90 \textdegree +5.6 \textdegree=\omega+28.6 \textdegree$

$\omega=67 \textdegree$

Generally the equation for The Sine rule is mathematically given by

$\frac{sin \omega }{d}=\frac{sin \gamma}{l}$

$l=\frac{107 sin 28.6}{sin 67 \textdegree }$

$l=56m$