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Concept explainers
To find: the length of a rectangular board
![Check Mark](/static/check-mark.png)
Answer to Problem 7CYU
The length of board will be given by 69.3 in.
Explanation of Solution
Given:
Calculation:
The objective of the question is to find the length of a rectangular board of width 40 in.
Clearly from the figure it can be see that the board makes two 30°-60°-90°
In a right angled triangle with angle measures of 30°, 60°& 90° and smaller leg equal to a , The longer leg is given by
Take the lower triangle.
In the current triangle, the triangle is a 30°-60°-90°triangle with smaller leg being equal to 40 in.
The longer leg will be equal to the length of the table.
The longer leg is given by
Keeping values,
Longer leg
Conclusion:
The length of board will be given by 69.3 in.
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