Concept explainers
To calculate the height reached by the escalator.
Answer to Problem 35PPS
53.32 feet
Explanation of Solution
Given:
Length of the escalator is 110 feet long.
The angle that the escalator makes with the ground is
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:
Given that the length of the escalator is 110 feet and the angle that the escalator makes with the ground is
Let the height that the escalator reaches be h .
The hypotenuse in this case is 110 and the angle is
To calculate the height reached by the escalator, substituting the given values,
Calculating the value of
Conclusion:
Therefore, the escalator reaches a height of 53.32 feet.
Chapter 10 Solutions
Algebra 1
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