Dear members of our learning community:

Last week we began a discussion regarding the Pythagorean Theorem and this week we began our study of Trigonometry of the right triangle. Below is a problem we will use as our opening acitivity on Friday, December 11, 2009. First, I would like for each and every one of you to complete this question in its entirety. You may use your classmates and notes as well as any material posted in our classroom.

As seen in the accompanying diagram, a person can travel from

New York City to Buffalo by going north 170 miles to Albany and then

west 280 miles to Buffalo.

a If an engineer wants to design a highway to connect New York City directly to Buffalo, at what angle, x, would she need to build the highway? Find the angle to the nearest degree.

b To the nearest mile, how many miles would be saved by traveling

directly from New York City to Buffalo rather than by traveling first

to Albany and then to Buffalo?

Using the answers to part a and b, please compare and contrast the Pythagorean Theorem and Trigonometry. Your complete blog post is due by Monday, December 22, 2009.

Sincerely,

Ms. Budney

## Friday, December 11, 2009

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