<p>Advanced Algebra with Trigonometry NAME ______Ch 5: “Trigonometric Functions” DATE ______PER _____</p><p>“Applications Involving Right Triangles”</p><p> angle of elevation Angle of Elevation: an angle measured above the line of sight line of sight Angle of Depression: an angle measured below the line of sight angle of depression</p><p>EX1] From a point 115 feet from the base of a redwood tree, the angle of elevation to the top of the tree is 64.3 . Find the height of the tree to the nearest foot.</p><p>EX2] From a 60 foot observation tower on the coast, a Coast Guard officer sights a boat in difficulty. The angle of depression of the boat is 3 . How far is the boat from the shoreline?</p><p>EX3] An observer notes that the angle of elevation from point A to the top of a space shuttle is 27.2. From a point 17.5 meters further from the space shuttle, the angle of elevation is 23.9. Find the height of the space shuttle. Review: 1. Complete the table below. (Try not looking at your notes!)</p><p> sin cos tan csc sec cot</p><p>0 , 0</p><p> 30 , 6</p><p> 45 , 4</p><p> 60 , 3</p><p> 90 , 2</p><p>2. Find a coterminal angle for: -7p 29p a) b) 3 6</p><p>3. Find the EXACT value of the 6 trig functions of the angle  given in the figure. </p><p> cos  ______sec  ______7p q = 6 sin  ______csc  ______</p><p> tan  ______cot  ______</p><p>4. What if you’re not on the Unit Circle? Find the EXACT value of the 6 trig functions of the angle  given in the figure. </p><p> cos  ______sec  ______15 7 sin  ______csc  ______ tan  ______cot  ______Advanced Algebra with Trigonometry NAME ______Ch 5: “Trigonometric Functions” DATE ______PER _____ HOMEWORK “Applications Involving Right Triangles”</p><p>1) Television screens are measured by the length of the diagonal of the screen. Find the width of a 19-inch television screen if the diagonal makes an angle of 38 with the base of the screen.</p><p>2) The angle of elevation from a point 116 meters from the base of the Eiffel Tower to the top of the tower is 68.9 . Find the approximate height of the tower.</p><p>3) Venus rotates in a nearly circular orbit around the sun. The largest angle formed by Venus, Earth, and the sun is 46.5. The distance from Earth to the sun is approximately 149,000,000 kilometers. What is the orbital radius r of Venus? Round the answer to the nearest million kilometers.</p><p>4) From a point 300 feet from the base of a Roman aqueduct in southern France, the angle of elevation to the top of the aqueduct is 78 . Find the height of the aqueduct. 24 #5 Let  be an acute angle of a right triangle for which cot  . 7 a) Find sin .</p><p> b) Find sec .</p><p>#6-10 Find the EXACT value of each expression.</p><p>______6) sin 45  cos 60</p><p>______7) csc60sin 30  cot 45</p><p>  ______8) csc  cos 6 3</p><p>5 5 ______9) cos  sin 6 3</p><p>11 7 ______10) sin  tan 6 4</p><p>#11-12 Convert radians to degrees or degrees to radians.</p><p>7 ______11) 200 ______12) 12</p>