For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:
Where h is the hypotenuse.
We cleared h:
We rationalize:
ANswer:
Option A
Answer:
6 inches.
Step-by-step explanation:
Let a represent side length of larger square.
We know that area of square is square of its side length, so area of the larger square will be .
The area of smaller square would be .
We will use proportions to solve our given problem.
Cross multiply:
Take square root:
Since the length cannot be negative, therefore, the side length of larger square is 6 inches.