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Concept explainers
To calculate the distance at which Chloe is standing from the monument.
![Check Mark](/static/check-mark.png)
Answer to Problem 42PPS
69.32 feet
Explanation of Solution
Given:
Height of the building is 204 feet long, 134 feet wide and 99 feet tall.
The angle that Chloe is looking at the top of the monument is at an angle
Concept used:
Sum of the angles of the
Hypotenuse is the longest side of the right triangle.
Perpendicular is the line at an angle of
Base is the side of the right triangle on which the right angle stands.
Relationship between angles and the sides of the triangle is given by,
Calculation:
Let x be the distance at which Chloe is standing from the building.
Sketching the given situation,
The height of the monument is 99 feet which is represented as JK. Chloe is at the point L. The angle between the eye sight of Chloe to the building is
Therefore, substituting the known values in the trigonometric ratio,
Calculating the value of
Conclusion:
Chloe stands at a distance of 69.32 feet from the monument.
Chapter 10 Solutions
Algebra 1
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