Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.) Geometry/Trig 2Name: ____________________________________ Chapter 8 Exam ReviewDate: ____________________________________ Answers: 1.) 45 2.) 5/6 3.) 4.) 5.) 6.) 7.) 3 8.) 20 9.) 3/4 Section 2 – Calculate the geometric mean or extreme value. 10.) Calculate the geometric mean between 2 and ) 4 11.) Calculate the geometric mean between 6 and ) ) 14 is the geometric mean between 3 and x. Find x. 12.) ) 6 is the geometric mean between 12 and y. Find y. 13.) 3 Section 3 – Right Triangle Strategies Strategy 1: Alt to hypotenuse propertiesStrategy 2:Pythagorean Theorem hyp part 1alt althyp oart 2 Strategy 3:Special Right TrianglesStrategy 4:SOH-CAH-TOA

16 12 x° y Geometry/Trig 2Name: ____________________________________ Chapter 8 Exam Review – page 2Date: ____________________________________ x 8 2 y z x y z 6 2 x 10 5 y z Section 4 - Directions: Calculate the value of each indicated variable. Choose the correct strategy to complete each problem. Show all work on a separate sheet of paper and place answers on the lines provided. Leave answers in radical form when necessary. Round all decimal answers to the nearest tenth. x° 15 z y 60° 1.) 2.) x = __30_______ y = _ 17.3_______ z = ___8.7______ x = __4________ y = ____ 2√5____ z = ____ 4√5 ___ 3.) 4.) x = ___53_____ y = ____10______ perimeter = __40______ 5.) The diagonals of a rhombus have lengths of 12 6.) A rectangle have a length of 2.4m and width of 0.7m and 16. Calculate the perimeter of the rhombus. Calculate the perimeter and length of diagonal. 8 x° yy 12 45° 6 x y x = __ 6√2 _____ y = _ 3√2_______ 7.) 8.) If the side of an equilateral triangle is 21, calculate length of the altitude. diagonal = ____2.5____ perimeter = ___6.2_____ x = ______18__ y = ____ 2√10__ z = _____ 6√10_ 9.) 10.) 45°30° x yz altitude = ___ 10.5√3 ___ x = ____20______ y = ____ 10√3___ z = ___10_______ x = ____60____ y = _____6____

Section 5 - Directions: Calculate the missing pieces of the special right triangles. Remember the equations! Geometry/Trig 2Name: ____________________________________ Chapter 8 Exam Review – page 3Date: ____________________________________ 1.)2.)3.)4.)5.)6.) a1012562624√ 3 3.5√ 3 b 10√ 312√ 3 5353 6√ c √ 2 8√ 37373 b a c 60° 7.)8.)9.)10.)11.)12.) a356√ 28√ 36√ 2 4.5√ 2 b3562628√ 36√ 2 4.5√ 2 c3√ 25252128686 9 b a c 45° Section 6 - Directions: Complete the following applications of right triangle trigonometry. Be sure to draw a picture, set-up the equation, and solve for the missing piece. Round all side lengths to one decimal place and all angles to the nearest degree. 1.If a guy wire for a tree is 14 feet long and makes a 41  angle with the ground. How far is the base of the tree from the stake anchoring the wire? 10.6 ft 2.The extension ladder on the top of a 6-foot high hook and ladder truck is 150 feet long. If the angle of elevation of the ladder is 70 , to what height on a building will the ladder reach? 147ft 3.The angle of depression is measured from the top of a 43-foot tower to a reference point on the ground is found to be 63 . How far is the base of the tower from the point on the ground? 21.4 ft 4.The angle of depression from a searchlight to its target is 58 . How long is the beam of light, if the searchlight is 26 feet above the ground? 30.7 ft 5.A child holds the end of a kite string 30 inches above the ground. The string is taut and it makes a 68  angle with the horizontal. How high above the ground is the kite if 540 inches of string are let out? in 6.From a height of 38 meters above sea level, two ships are sighted due west. The angles of depression are 53  and 23 . How far apart are the ships? 60.9 ft 7.A television antenna stands on the edge of the top of a 52 story building. From a point 320 feet from the base of the building the angle of elevation to the top of the antenna is 64 . If each story is 12 feet high, calculate the height of the antenna. 32 ft 8.delete