To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations ∠E1SE2 can be calculated. (The times are chosen so that ∠E1SE2 is as large as possible, which guarantees that ∠E1OS is 90°.) The angle E1SO is called the parallax of the star. Sirius, one of the stars nearest the earth, has a parallax of θ = 0.000106°. Estimate the distance to this star from E1. (Take the distance from the earth to the sun to be 9.3 107 mi. Enter your answer in scientific notation. Round the base to two decimal places.) E2E,

Given: O is the position of Sun. S position of star from the point E1 and E2. E1 and E2 are the…

Answered: To find the distance to nearby stars,…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.2: Solving Inequalities By Multiplication And Division

Problem 3AGP

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To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations

∠E₁SE₂

can be calculated. (The times are chosen so that

∠E₁SE₂

is as large as possible, which guarantees that

∠E₁OS

is 90°.) The angle

E₁SO

is called the parallax of the star. Sirius, one of the stars nearest the earth, has a parallax of θ = 0.000106°. Estimate the distance to this star from E₁. (Take the distance from the earth to the sun to be 9.3 10⁷ mi. Enter your answer in scientific notation. Round the base to two decimal places.)

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