91Ó°ÊÓ

Tuning Fork The end of a tuning fork moves in simple harmonic motion described by the function \(d(t)=a \sin (\omega t)\) If a tuning fork for the note \(\mathrm{E}\) above middle \(\mathrm{C}\) on an even-tempered scale \(\left(\mathrm{E}_{4}\right)\) has a frequency of approximately 329.63 hertz (cycles per second), find \(\omega\). If the maximum displacement of the end of the tuning fork is 0.025 millimeter, Find a function that describes the movement of the tuning fork.

A forest ranger is walking on a path inclined at \(5^{\circ}\) to the horizontal directly toward a 100 -foot-tall fire observation tower. The angle of elevation from the path to the top of the tower is \(40^{\circ} .\) How far is the ranger from the tower at this time?

State the formula for finding the area of an SAS triangle in words.

What do you do first if you are asked to solve a triangle and are given two sides and the included angle?