SOLUTION: There is a new popular game called 4-square. The game is played on a 16-foot square court which is divided into 4 smaller squares that intersect in the middle. If a line is drawn b

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Question 1195147: There is a new popular game called 4-square. The game is played on a 16-foot square court which is divided into 4 smaller squares that intersect in the middle. If a line is drawn between the two outside corners, a right triangle is formed. Using a trigonometric function, find the length of the diagonal to the nearest tenth.
Found 3 solutions by ikleyn, Alan3354, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


Which diagonal ?



My impression after reading this post is that the major goal of its creator was to write as many  English words as possible,

(and even more), to demonstrate philological skills and to show how many  English words he  (or she)  knows and can collect/pack in one post.


Real / True  Math problems do not formulate in this way.


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A useful notice for the future:

        School Math does not assume too much philological skills of a teacher.

        It assumes pedagogical skills,  instead,  which is a different subject.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There is a new popular game called 4-square. The game is played on a 16-foot square court which is divided into 4 smaller squares that intersect in the middle. If a line is drawn between the two outside corners, a right triangle is formed. Using a trigonometric function, find the length of the diagonal to the nearest tenth.
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If it's 16 square feet:
The angle is 45 degs.
sin(45) = 4/diagonal = sqrt%282%29%2F2
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PS Using trig is not the best way to do this one.
Use Pythagorean Theorem.
diag = sqrt(2s^2) where s is the side length
diag+=+s%2Asqrt%282%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The diagonal of a 16-foot square forms a 45-degree angle with each side of the square; a side of the square is the side opposite the 45 degree angle and the diagonal is the hypotenuse; opposite divided by hypotenuse is sine.

sin%2845%29+=+16%2Fx
sqrt%282%29%2F2+=+16%2Fx
x+=+16%282%2Fsqrt%282%29%29+=+16sqrt%282%29

Since the answer is to be given to the nearest tenth, using an approximation for the square root of 2 to 3 decimal places should suffice.

16(1.414) = 22.624

To the nearest, tenth, 22.6 feet.

ANSWER: 22.6 feet