Comparing heights of famous buildings

First predict the order from tallest to shortest for the following buildings

Then use 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 mh = 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 44o

81 m h = ?

44o

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)