Concept explainers
Distance to the Sun When the moon is exactly half full, the earth, moon, and sun form a right angle (see the figure). At that time the angle formed by the sun, earth, and moon is measured to be 89.85°. If the distance from the earth to the moon is 240,000 mi, estimate the distance from the earth to the sun.
To find: The distance from the earth to the sun.
Answer to Problem 61E
The distance from the earth to the sun is
Explanation of Solution
Formula used:
1. The six trigonometric ratios are given by,
Calculation:
Given that the right angle forms when the moon is exactly half full, the earth, moon and sun.
Distance from the earth to the moon is
Substitute
Distance from the earth to the sun is 91.7 million.
Thus, the distance from the earth to the sun is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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