Question

unit e: trigonometry and slope
chapter 9 practice
use the following information to answer question 4.
jake is remodelling his bathroom. the current project is plumbing under the bathroom sink.
because it is a renovation, he needs to hook up his new sink drain to the existing drainage
outlet, which is not a straight line and has a shelf to get around.

1. a. determine the length of each of the following sections to the nearest inch.

hint: use the pythagorean theorem!
· ab = 4² + 5²

Explanation:

Step1: Apply Pythagorean Theorem to \(AB\)

For right - triangle \(AB\) (assuming the dashed lines form a right - triangle), if the two legs are \(a = 4\) and \(b = 5\), by the Pythagorean Theorem \(c=\sqrt{a^{2}+b^{2}}\). So \(AB=\sqrt{4^{2}+5^{2}}=\sqrt{16 + 25}=\sqrt{41}\approx6.4\approx6\) (rounded to the nearest inch).

Step2: Apply Pythagorean Theorem to \(CD\)

For right - triangle \(CD\), if the two legs are \(a = 4\) and \(b = 4\), then \(CD=\sqrt{4^{2}+4^{2}}=\sqrt{16+16}=\sqrt{32}\approx5.7\approx6\) (rounded to the nearest inch).

Answer:

\(AB\approx6\) inches, \(CD\approx6\) inches