91Ó°ÊÓ

Given the point is on a unit circle, complete the ordered pair \((x, y)\) for the quadrant indicated. Answer in radical form as needed. Round results to four decimal places. \((x,-0.8) ;\) QIII

Graph each linear equation and state the quadrants it traverses. Then pick one point on the line from each quadrant and evaluate the functions \(\sin \theta, \cos \theta\) and tan \(\theta\) using these points. $$y=-\frac{\sqrt{3}}{3} x$$

Convert from DMS (degree/minute/seconds) notation to decimal degrees. $$9^{\circ} 15^{\prime} 36^{\prime \prime}$$

Given the point is on a unit circle, complete the ordered pair \((x, y)\) for the quadrant indicated. Answer in radical form as needed. Round results to four decimal places. \((x,-0.2137) ;\) QIII

Use the information given to write a sinusoidal equation, sketch its graph, and answer the question posed.In Vancouver, British Columbia, the number of hours of daylight reaches a low of \(8.3 \mathrm{hr}\) in January, and a high of nearly 16.2 hr in July. (a) Find a sinusoidal equation model for the number of daylight hours each month; (b) sketch the graph; and (c) approximate the number of days each year there are more than 15 hr of daylight. Use 1 month \(\approx 30.5\) days. Assume \(t=0\) corresponds to January 1

Convert the angles from decimal degrees to DMS (degree/minute/sec) notation. $$275.33^{\circ}$$

Use a calculator to find the value of each expression, rounded to four decimal places. $$\sin 27^{\circ}$$

Convert the angles from decimal degrees to DMS (degree/minute/sec) notation. $$5.4525^{\circ}$$

Find the reference angle associated with each rotation, then find the associated point \((x, y)\) on the unit circle. $$\theta=\frac{5 \pi}{4}$$

A helicopter is hovering over a crowd of people watching a police standoff in a parking garage across the street. Stewart notices the shadow of the helicopter is lagging approximately \(50 \mathrm{m}\) behind a point directly below the helicopter. If he is \(2 \mathrm{m}\) tall and casts a shadow of \(1.6 \mathrm{m}\) at this time, what is the altitude of the helicopter?