Concept explainers
To calculate:
The name of light which will reach to boat positioned directly between the two light houses
Answer to Problem 14PPS
Little Gull Island lighthouse will reach the boat positioned directly between the two light houses.
Explanation of Solution
Given information:
Height of Little Gull Island Lighthouse:
Angle of depression for Little Gull Island Lighthouse:
Calculation:
The relationship between the angle of elevation and the angle of depression is given by alternate interior
Consider,
The horizontal range of the light from Little Gull Island Lighthouse:
The horizontal range of the light from Plum Island Light house:
Let’s draw a figure to represent the given information:
If is a
the leg opposite
As per the definition of tangent:
But here the boat is
Let’s check for Plum Island Lighthouse:
Here the boat is
Therefore, Little Gull Island lighthouse will reach the boat
Chapter 8 Solutions
Geometry, Student Edition
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