The king is planning a new rectangular courtyard in his palace. It will be laid out using square tiles. He has chosen some very pretty, but very inexpensive, tiles. However, his adviser has informed him that some of the tiles will have to be a more expensive type. This is because visiting dignitaries will always walk along a certain diagonal, from one corner of the courtyard to the opposite corner, so the tiles along this diagonal will get lots of wear and tear. Every tile that contains a segment of the diagonal must thus be an extra-strength, more expensive tile. If a tile touches the diagonal only at a corner, it can be a regular tile. The diagram shows what the situation would look like if the king made a 4-by-6 courtyard. In this case, 8 tiles (shaded darker than the rest) include some portion of the diagonal, so these would need to be the more expensive kind. 1. The king wants to know how many of these special tiles to order. At the moment, he is planning a 63-by-90 tile courtyard. That is, it will have 63 rows of tiles with 90 tiles in each row. If he stays with this plan, how many special tiles will he need?

The king is planning a new rectangular courtyard in his palace. It will be laid out using square tiles. He has chosen some very pretty, but very inexpensive, tiles. However, his adviser has informed him that some of the tiles will have to be a more expensive type. This is because visiting dignitaries will always walk along a certain diagonal, from one corner of the courtyard to the opposite corner, so the tiles along this diagonal will get lots of wear and tear. Every tile that contains a segment of the diagonal must thus be an extra-strength, more expensive tile. If a tile touches the diagonal only at a corner, it can be a regular tile. The diagram shows what the situation would look like if the king made a 4-by-6 courtyard. In this case, 8 tiles (shaded darker than the rest) include some portion of the diagonal, so these would need to be the more expensive kind. 1. The king wants to know how many of these special tiles to order. At the moment, he is planning a 63-by-90 tile courtyard. That is, it will have 63 rows of tiles with 90 tiles in each row. If he stays with this plan, how many special tiles will he need?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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The king is planning a new rectangular courtyard in his palace. It will
be laid out using square tiles. He has chosen some very pretty, but very
inexpensive, tiles. However, his adviser has informed him that some of
the tiles will have to be a more expensive type.
This is because visiting dignitaries will always walk along a certain
diagonal, from one corner of the courtyard to the opposite corner, so
the tiles along this diagonal will get lots of wear and tear. Every tile that
contains a segment of the diagonal must thus be an extra-strength,
more expensive tile. If a tile touches the
diagonal only at a corner, it can be a
regular tile.
The diagram shows what the situation
would look like if the king made a
4-by-6 courtyard. In this case, 8 tiles
(shaded darker than the rest) include
some portion of the diagonal, so these
would need to be the more expensive
kind.
1. The king wants to know how many of these special tiles to order.
At the moment, he is planning a 63-by-90 tile courtyard. That is, it
will have 63 rows of tiles with 90 tiles in each row.
If he stays with this plan, how many special tiles will he need?

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