Question

1. A car drives 12 miles north, turns, and then drives 8 miles east. How far is the car from its
starting point?
a. Draw a right triangle to represent this situation. Label the lengths of the known sides.
Label the length of the unknown side x.
b. Use the Pythagorean theorem to find the length of the missing side. Be sure to
indicate which root represents the answer and write the answer in simplest radical
form.
c. Use a calculator to change the answer to decimal form. Round the answer to the
nearest tenth.

Answer 1

Using this decimal number, write a sentence to explain the meaning of
the answer in this situation

Answer 2

@dg2 @ganeshie8

Answer 3

how do i do b & c?

Answer 4

b) Use Pythagorean theorem:
AB^2 + BC^2 = AC^2
12^2 + 8^2 = x^2
144 + 64 = x^2
208 = x^2
\(x = \sqrt{208} = \sqrt{16*13} = 4\sqrt{13} \)

Answer 5

thanks:)

Answer 6

For b) write x = \(\pm 4\sqrt{13}\) and then choose the positive root: x = \(+4\sqrt{13}\)

Answer 7

okay.

Answer 8

c) Use your calculator to find \(+4\sqrt{13} = 14.4\)

Answer 9

alright i will