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3* (C) After solving the last problem, your students ask if methods similar to that used in question 2 can be used to find things like the distance stars are from the earth, the distance from the earth to the sun, the maximum distance planets are from the sun, and so on. You say, "Yes," and offer them one more example, that of calculating the distance Venus is from the sun. You give them the following facts and picture: Venus's orbit around the sun is almost per- fectly circular and the same is true for the earth's orbit. So we can draw two concentric circles representing their orbits with the sun, S, as center. (See Figure 12.10.) E Figure 12.10 When the angle between the sun, earth, and Venus (angle SEV) is maximum, the angle between the sun, Venus, and earth, (angle SVE) is 90°. The maximum angle SEV is about 46.3 degrees. Now, using this information calculate the approximate distance from Venus, (V), to the sun, (S), considering them as points. Note that the distance from the earth to the sun is approxi- mately 93,000,000 miles. Compare the answer you got with the latest results scientists have found. How close were you?

3* (C) After solving the last problem, your students ask if methods similar to that used in question 2 can be used to find things like the distance stars are from the earth, the distance from the earth to the sun, the maximum distance planets are from the sun, and so on. You say, "Yes," and offer them one more example, that of calculating the distance Venus is from the sun. You give them the following facts and picture: Venus's orbit around the sun is almost per- fectly circular and the same is true for the earth's orbit. So we can draw two concentric circles representing their orbits with the sun, S, as center. (See Figure 12.10.) E Figure 12.10 When the angle between the sun, earth, and Venus (angle SEV) is maximum, the angle between the sun, Venus, and earth, (angle SVE) is 90°. The maximum angle SEV is about 46.3 degrees. Now, using this information calculate the approximate distance from Venus, (V), to the sun, (S), considering them as points. Note that the distance from the earth to the sun is approxi- mately 93,000,000 miles. Compare the answer you got with the latest results scientists have found. How close were you?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3* (C) After solving the last problem, your students ask if methods similar to that used in question 2 can be used to find things like the distance stars are from the earth, the distance from the earth to the sun, the maximum distance planets are from the sun, and so on. You say, "Yes," and offer them one more example, that of calculating the distance Venus is from the sun. You give them the following facts and picture: Venus's orbit around the sun is almost per- fectly circular and the same is true for the earth's orbit. So we can draw two concentric circles representing their orbits with the sun, S, as center. (See Figure 12.10.) E Figure 12.10 When the angle between the sun, earth, and Venus (angle SEV) is maximum, the angle between the sun, Venus, and earth, (angle SVE) is 90°. The maximum angle SEV is about 46.3 degrees. Now, using this information calculate the approximate distance from Venus, (V), to the sun, (S), considering them as points. Note that the distance from the earth to the sun is approxi- mately 93,000,000 miles. Compare the answer you got with the latest results scientists have found. How close were you?
Transcribed Image Text:3* (C) After solving the last problem, your students ask if methods similar to that used in question 2 can be used to find things like the distance stars are from the earth, the distance from the earth to the sun, the maximum distance planets are from the sun, and so on. You say, "Yes," and offer them one more example, that of calculating the distance Venus is from the sun. You give them the following facts and picture: Venus's orbit around the sun is almost per- fectly circular and the same is true for the earth's orbit. So we can draw two concentric circles representing their orbits with the sun, S, as center. (See Figure 12.10.) E Figure 12.10 When the angle between the sun, earth, and Venus (angle SEV) is maximum, the angle between the sun, Venus, and earth, (angle SVE) is 90°. The maximum angle SEV is about 46.3 degrees. Now, using this information calculate the approximate distance from Venus, (V), to the sun, (S), considering them as points. Note that the distance from the earth to the sun is approxi- mately 93,000,000 miles. Compare the answer you got with the latest results scientists have found. How close were you?
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