Topic 15 - Guided Assessment#1-10 & More Practice #1-10 Jan 28 - Jan 31, 2014

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1 2/0/4 2:8 PM Topic 5 - Guie Assessment#-0 & More Practice #-0 Jan 28 - Jan 3, 204 Teacher: Melva Yazzie Topic 5 - Guie Assessment#-0 & More Practice #-0 5. Right triangle an trig relationships Course: CCSS Geometry Assessments Guie assessment Assessments More practice Q 5. Right triangle an trig relationships Assessments Guie assessment Page A B Tiles: Tile Tile2 2 Tile3 Tile4 Tile5 2 3 Q 5. Right triangle an trig relationships Assessments Guie assessment Page 2 Ranger Rick walks away from point B until the measure of angle C is 30. He measures his istance from point B as meters. What proportion coul he set up to fin, the istance across the lake? Select all that apply. A. B. D. E. 2 Page of 8

2 2/0/4 2:8 PM C. F. 2 FIB at guie assessment, page 3 # 5. Right triangle an trig relationships Assessments Guie assessment Page 3 Oh no! A bear has wanere into the area! Ranger Rick quickly moves to a safer location. In his haste he has forgotten his previous measurement. In his new location, angle C is 45. This angle measurement can help him fin because there is a useful relationship between AB an CB. We know that AB is A to CB. Q 5. Right triangle an trig relationships Assessments Guie assessment Page 4 The bear moves closer, so Rick ecies to go to the other sie of the lake. Since there is a forest, he can only spot point A when angle C measures 50. What trigonometric function woul Rick use to fin if he knows the measure of? AB BC A. Tangent function B. Cosine function D. Any trig function can be use. E. There is not enough information to use any of them. C. Sine function Q 5. Right triangle an trig relationships Assessments Guie assessment Page 5 Ranger Rick measure BC an foun it to be 20.5 meters. Drag the tiles to the appropriate slots to set up the correct equation for fining the value of. A B C Tiles: Tile sin Tile2 cos Tile3 tan Tile Tile5 Tile6 50 Page 2 of 8

3 2/0/4 2:8 PM FIB at guie assessment, page 6 # 5. Right triangle an trig relationships Assessments Guie assessment Page 6 Ranger Rick has finally gathere enough informtion to fin the istance across the lake. Using the information Rick gathere, fill in the istance,, below. Roun to the nearest tenth. Distance across the lake A meters Q 5. Right triangle an trig relationships Assessments Guie assessment Page 7 Ranger Rick is going to esign an buil a lifeguar stan for the swimming area. He starts by esigning the sie of the stan as shown. He knows that AC 0 feet, the DC 4 feet an that will be 6 feet above an parallel to DC. Use similar triangles to fin GB so that Rick knows where to rill a hole to attach the boars. EB A. foot B..6 feet D feet E. 4 feet C. 2 feet Q 5. Right triangle an trig relationships Assessments Guie assessment Page 8 DAC In orer to attach AD to AC, Rick nees to know the measure of. Since he knows the measures of AC an DC, what trig concept can he use to fin the measure of? DAC A. sin B. cos C. tan FIB at guie assessment, page 9 # D. sin - E. tan - F. cos - 5. Right triangle an trig relationships Assessments Guie assessment Page 9 Use the inverse trig function to fin the measure of DAC roune to the nearest tenth. DAC A Page 3 of 8

4 2/0/4 2:8 PM Q 5. Right triangle an trig relationships Assessments Guie assessment Page 0 After the stan is built, Rick lies own in the sunshine an work on his tan. At 3 p.m. the angle of elevation of the sun is 55. How far from the stan must he be to avoi the shae? The height of the stan is 4 feet. A. 0. feet B. 9.8 feet D feet E feet C. 7. feet Q 5. Right triangle an trig relationships Assessments More practice Page To the nearest thousanth, the value of c is A. Q 5. Right triangle an trig relationships Assessments More practice Page 2 Page 4 of 8

5 2/0/4 2:8 PM What is a vali epression for tan A? A. B. C. D..620 Q 5. Right triangle an trig relationships Assessments More practice Page 4 What is the value of sin A? Simplify your answer completely. A. B. 2 C D. 2 Q 5. Right triangle an trig relationships Assessments More practice Page 5 Fill in the sie lengths to form the trig ratios. Page 5 of 8

6 2/0/4 2:8 PM A B C D E F Q 5. Right triangle an trig relationships Assessments More practice Page 6 In the preceing question you foun that tan B A To the nearest egree, m B Q 5. Right triangle an trig relationships Assessments More practice Page 7 Page 6 of 8

7 2/0/4 2:8 PM What is cos 75? A. B. y 30 C. y 30 Q 5. Right triangle an trig relationships Assessments More practice Page 8 In the previous question, you foun cos 75 A. 30. To the nearest thousanth, the value of is Q 5. Right triangle an trig relationships Assessments More practice Page 9 Page 7 of 8

8 2/0/4 2:8 PM A boy stans on a siewalk, looks up at a tall builing, an woners how tall it is. Using a meter stick an a setant, he etermines the measurements shown. About how tall is the builing? A m B m D m E m C m Q 5. Right triangle an trig relationships Assessments More practice Page 0 The slope of a highway is calle the grae. A grae rise run of 4% means the ratio of is What is the approimate angle of inclination of this highway? A B C D Page 8 of 8