To calculate : The straight-line distance from person's home to the beach.
The straight-line distance from person's home to the beach is
Given information :
To get from home to beach a person drives
Calculation :
Make figure on the basis of the given information as below:
Here, A is the home of the person and E is the beach.
The straight-line distance from person's home to the beach is AE.
Here,
Since, vertical angles are congruent, so
If two angles of a triangle are similar with the corresponding two angles of another triangle then the third angle of both the triangles are also similar as the sum of the angles of a triangle is
So,
This shows that
From equation (1)
So,
Use Pythagoras Theorem to find
In
In
Now,
Therefore, the straight-line distance from person's home to the beach is
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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