Asked by Raquel Placito-Tovar on May 12, 2024
Verified
A volleyball court is 30 feet wide and 55 feet long. Find the length of the diagonal of the court. Round your answer to two decimal places.
A) 30.90 feet
B) 62.65 feet
C) 170.00170.00170.00 feet
D) 46.1046.1046.10 feet
E) 40.6240.6240.62 feet
Diagonal
A straight line connecting opposite corners of a polygon, especially a quadrilateral.
Volleyball Court
A rectangular field of play used for the game of volleyball, with specific dimensions and markings.
- Implement the principles of radical numbers in solving practical issues, particularly in geometric scenarios that use the Pythagorean theorem.
Verified Answer
HM
Hailey McDonaldMay 17, 2024
Final Answer :
B
Explanation :
We can use the Pythagorean theorem to solve for the length of the diagonal. Let d be the length of the diagonal.
d2=302+552d2=900+3025d2=3925d≈3925d≈62.65 feet\begin{align*}d^2 &= 30^2 + 55^2 \\d^2 &= 900 + 3025 \\d^2 &= 3925 \\d &\approx \sqrt{3925} \\d &\approx 62.65 \text{ feet}\end{align*}d2d2d2dd=302+552=900+3025=3925≈3925≈62.65 feet
Therefore, the answer is B.
d2=302+552d2=900+3025d2=3925d≈3925d≈62.65 feet\begin{align*}d^2 &= 30^2 + 55^2 \\d^2 &= 900 + 3025 \\d^2 &= 3925 \\d &\approx \sqrt{3925} \\d &\approx 62.65 \text{ feet}\end{align*}d2d2d2dd=302+552=900+3025=3925≈3925≈62.65 feet
Therefore, the answer is B.
Learning Objectives
- Implement the principles of radical numbers in solving practical issues, particularly in geometric scenarios that use the Pythagorean theorem.