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activity helps you stigate the following triangles: raw three similar right triangles ABC, DEF, and GHI in different sizes in such a way that m ZC = m ZF = m Z1 = 63º. easure the second acute angle in each of the triangles. se a ruler to measure the sides of the triangles to the nearest tenths in centimeters. Then each of the following ratios for all the three triangles: a. the ratio of the leg opposite the 63° angle to the hypotenuse b. the ratio of the leg adjacent to the 63° angle to the hypotenuse rd your findings in the given table: Measures in AABC in ADEF in AGHI leg opposite the 63° angle leg adjacent to the 63° angle hypotenuse leg opposite 63° angle hypotenuse leg adjacent to 63° angle hypotenuse leg opposite 63° angle leg adjacent to 63° angle alyze the ratios of the sides across these triangles. What do you notice about: a. the first ratio, leg opposite 63° angle to the hypotenuse? b. the second ratio, leg adjacent to 63° angle to the hypotenuse? c. the third ratio, leg opposite the 63° angle to the leg adjacent to 63° angle?

activity helps you stigate the following triangles: raw three similar right triangles ABC, DEF, and GHI in different sizes in such a way that m ZC = m ZF = m Z1 = 63º. easure the second acute angle in each of the triangles. se a ruler to measure the sides of the triangles to the nearest tenths in centimeters. Then each of the following ratios for all the three triangles: a. the ratio of the leg opposite the 63° angle to the hypotenuse b. the ratio of the leg adjacent to the 63° angle to the hypotenuse rd your findings in the given table: Measures in AABC in ADEF in AGHI leg opposite the 63° angle leg adjacent to the 63° angle hypotenuse leg opposite 63° angle hypotenuse leg adjacent to 63° angle hypotenuse leg opposite 63° angle leg adjacent to 63° angle alyze the ratios of the sides across these triangles. What do you notice about: a. the first ratio, leg opposite 63° angle to the hypotenuse? b. the second ratio, leg adjacent to 63° angle to the hypotenuse? c. the third ratio, leg opposite the 63° angle to the leg adjacent to 63° angle?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter48: Applications Of Formulas To Spur Gears
Section: Chapter Questions
Problem 58A
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Activity 1: Triangles of Different sizes This activity helps you recall the concepts of similar triangles. Investigate the following triangles: 1. Draw three similar right triangles ABC, DEF, and GHI in different sizes in such a way that m ZC = m ZF = m Z1 = 63º. 2. Measure the second acute angle in each of the triangles. 3. Use a ruler to measure the sides of the triangles to the nearest tenths in centimeters. Then find each of the following ratios for all the three triangles: a. the ratio of the leg opposite the 63° angle to the hypotenuse b. the ratio of the leg adjacent to the 63° angle to the hypotenuse Record your findings in the given table: Measures in AABC in ADEF in AGHI leg opposite the 63° angle leg adjacent to the 63° angle hypotenuse leg opposite 63° angle hypotenuse leg adjacent to 63° angle hypotenuse leg opposite 63° angle leg adjacent to 63° angle 4. Analyze the ratios of the sides across these triangles. What do you notice about: a. the first ratio, leg opposite 63° angle to the hypotenuse? b. the second ratio, leg adjacent to 63° angle to the hypotenuse? c. the third ratio, leg opposite the 63° angle to the leg adjacent to 63° angle?
Transcribed Image Text:Activity 1: Triangles of Different sizes This activity helps you recall the concepts of similar triangles. Investigate the following triangles: 1. Draw three similar right triangles ABC, DEF, and GHI in different sizes in such a way that m ZC = m ZF = m Z1 = 63º. 2. Measure the second acute angle in each of the triangles. 3. Use a ruler to measure the sides of the triangles to the nearest tenths in centimeters. Then find each of the following ratios for all the three triangles: a. the ratio of the leg opposite the 63° angle to the hypotenuse b. the ratio of the leg adjacent to the 63° angle to the hypotenuse Record your findings in the given table: Measures in AABC in ADEF in AGHI leg opposite the 63° angle leg adjacent to the 63° angle hypotenuse leg opposite 63° angle hypotenuse leg adjacent to 63° angle hypotenuse leg opposite 63° angle leg adjacent to 63° angle 4. Analyze the ratios of the sides across these triangles. What do you notice about: a. the first ratio, leg opposite 63° angle to the hypotenuse? b. the second ratio, leg adjacent to 63° angle to the hypotenuse? c. the third ratio, leg opposite the 63° angle to the leg adjacent to 63° angle?
Measures in AABC in ADEF in AGHI leg opposite the 6.3° angle leg adjacent to the 63° angle hypotenuse leg opposite 63° angle hypotenuse leg adjacent to 63° angle hypotenuse leg opposite 63° angle leg adjacent to 63° angle 5. Using a scientific calculator, determine the value of sin 63°, cos 63°, and tan 63° then compare them to the values obtained in step 4. What do you observe? 6. Complete each statement: The ratio. The ratio The ratio is the approximate value of sine of 63⁰. is the approximate value of cosine of 63⁰. is the approximate value of tangent of 63⁰. 7. Complete the sentence: and and In a right triangle having an acute angle, a. the sine 9 is the ratio between b. the cosine 0 is the ratio between c. the tangent 0 is the ratio between and
Transcribed Image Text:Measures in AABC in ADEF in AGHI leg opposite the 6.3° angle leg adjacent to the 63° angle hypotenuse leg opposite 63° angle hypotenuse leg adjacent to 63° angle hypotenuse leg opposite 63° angle leg adjacent to 63° angle 5. Using a scientific calculator, determine the value of sin 63°, cos 63°, and tan 63° then compare them to the values obtained in step 4. What do you observe? 6. Complete each statement: The ratio. The ratio The ratio is the approximate value of sine of 63⁰. is the approximate value of cosine of 63⁰. is the approximate value of tangent of 63⁰. 7. Complete the sentence: and and In a right triangle having an acute angle, a. the sine 9 is the ratio between b. the cosine 0 is the ratio between c. the tangent 0 is the ratio between and
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