<em><u>Solution:</u></em>
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,
Thus measure of angle y is 35.68 degrees
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
<h3>What is perimeter of plane?</h3>The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
Learn more about the perimeter of plane here;