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Chapter 8: Q. 51 (page 517)

The tallest tower built before the era of television masts, the Eiffel Tower was completed on March 31, 1889. Find the height of the Eiffel Tower (before a television mast was added to the top) using the information given in the illustration.

Short Answer

Expert verified

The height of Eiffel Tower is 鈮�985.84ft.

Step by step solution

01

Given Information

Given that the figure is

02

Solution

Suppose the height of Eiffel Tower is x.

Now, re-create the figure as

In 鈭�ABCangle Cis 85.361掳and BC is 80ft.

We have to find AB.

So,

tan(C)=ABBCtan(85.361掳)脳BC=ABx=80脳tan(85.361掳)x=80脳12.323x鈮�985.84ft

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