The bell tower of the cathedral in Pisa Italy leans 56 from

The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 100 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 30.4. Find the length of the tower to the nearest meter

Solution

calculating angle between base and leaning tower

= 180 - ( 30.4 + 90-5.6)

= 65.2

length of tower = 100 sin 30.4 / sin 65.2

= 56 m

length of tower is 56 m