Comparing heights of famous buildings First predict the order from tallest to shortest for the following buildings Thenuse trigonometry to calculate their heights
Arrange the buildings in order from tallest to shortest.
Calculate the heights of the buildings. Page 272 #6a) Eiffel Tower, Paris, France 68 m from the base, angle of elevation is 78⁰ h =? 68m 78⁰ Multiply both sides by 68 68(tan78) = h h = 320 m h = 68(4.705) OPP ADJ SOHCAHTOA
PAGE 272 #6C, Height of the Leaning Tower of Pisa, The distance from a point on the ground to the tallest tip of the tower is 81 m The angle of elevation is 44 o 81 m h = ? 44 o OPP HYP SOHCAHTOA Multiply both sides of the equation by 81 h = 56 m
Our calculated heights 56 m320 m Now it is your turn. Calculate the heights of the other two buildings. Page 272 #6(b,d)