1 / 3

Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.)

Geometry/Trig 2 Name: ____________________________________ Chapter 8 Exam Review Date: ____________________________________. Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.) . Answers: 1.) 45 2.) 5/6 3.) 4.) 5.) 6.) 7.) 3

nellis
Télécharger la présentation

Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry/Trig 2 Name: ____________________________________ Chapter 8 Exam Review Date: ____________________________________ Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.) 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 8. 10.) 4 11.) Calculate the geometric mean between 6 and 24. 11.) 12 12.) 14 is the geometric mean between 3 and x. Find x. 12.) 65.33 13.) 6 is the geometric mean between 12 and y. Find y. 13.) 3 Section 3 – Right Triangle Strategies Strategy 1:Alt to hypotenuse properties Strategy 2:Pythagorean Theorem hyp part 1alt alt hyp oart 2 Strategy 3:Special Right Triangles Strategy 4:SOH-CAH-TOA

  2. Geometry/Trig 2 Name: ____________________________________ Chapter 8 Exam Review – page 2 Date: ____________________________________ 16 12 12 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. 1.) 2.) x = __4________ y = ____ 2√5____ z = ____ 4√5 ___ x = __30_______ y = _ 17.3_______ z = ___8.7______ x° y 15 60° z 3.) 4.) x = ___53_____ y = ____10______ x = __ 6√2 _____ y = _ 3√2_______ y y 6 8 x° 45° 5 x 12 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. 2 perimeter = __40______ diagonal = ____2.5____ perimeter = ___6.2_____ y y 10 8 7.) 8.) If the side of an equilateral triangle is 21, calculate length of the altitude. y x = ______18__ y = ____ 2√10__ z = _____ 6√10_ y x x z 6 45° z z x 2 altitude = ___ 10.5√3 ___ 9.) 10.) x 45° 30° x° x° z y y x = ____20______ y = ____ 10√3___ z = ___10_______ x = ____60____ y = _____6____

  3. Geometry/Trig 2 Name: ____________________________________ Chapter 8 Exam Review – page 3 Date: ____________________________________ Section 5 - Directions: Calculate the missing pieces of the special right triangles. Remember the equations! c c b b 60° 45° a a • 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. • 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 • 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 • 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 • 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 • 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? 530. 7 in • 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 • 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 • delete

More Related