To find the distance to the sun, we need to know the distance to the moon. Here is a way to estimate that distance: When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B (see the following figure). Points A and B are 6155 mi apart, and the radius of the earth is 3960 mi earth 6155 mi (a) Find the angle in degrees. (Round your answer to two decimal places.) • (b) Estimate the distance from point A to the moon. (Round your the nearest thousand miles.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
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To find the distance to the sun, we need to know the distance to the moon. Here is a way to estimate that distance: When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B (see the following figure). Points A and B are 6155 mi apart, and the radius of the earth is 3960 mi.
earth
B
O
6155 mi
moon
(a) Find the angle 0 in degrees. (Round your answer to two decimal places.)
(b) Estimate the distance from point A to the moon. (Round your answer to the nearest thousand miles.)
thousand miles
Transcribed Image Text:To find the distance to the sun, we need to know the distance to the moon. Here is a way to estimate that distance: When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B (see the following figure). Points A and B are 6155 mi apart, and the radius of the earth is 3960 mi. earth B O 6155 mi moon (a) Find the angle 0 in degrees. (Round your answer to two decimal places.) (b) Estimate the distance from point A to the moon. (Round your answer to the nearest thousand miles.) thousand miles
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