To find: The distance between the Earth and Mercury planet.
On that certain day the distance between the Earth and the Mercury is nearly 161 miles.
Given data:
The distance between the Sun and the Mercury is
Method/Formula used:
The ‘Law of Cosines’ states for a
The solution of quadratic equation,
Calculations:
The positions of the Sun, the Earth, and the Mercury with the triangle EMS is shown in Fig.2.
Here, the distance between the Sun and the Mercury ( SM ) is
Using ‘Law of Cosine’ in triangle EMS,
Substitute,
Substitute x for
The distance cannot be negative, therefore, on that certain day the distance between the Earth and the Mercury is nearly 161 miles.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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