SOLUTION: 6. The area of a polygon is 320 square units, and one of its sides measures 48 units. The area of a second, similar polygon is 180 square units. What is the length of its side corr

Algebra ->  Polygons -> SOLUTION: 6. The area of a polygon is 320 square units, and one of its sides measures 48 units. The area of a second, similar polygon is 180 square units. What is the length of its side corr      Log On


   

Question 755777: 6. The area of a polygon is 320 square units, and one of its sides measures 48 units. The area of a second, similar polygon is 180 square units. What is the length of its side corresponding to the 48-unit side in the first polygon?
11. The legs of a right triangle measure 19.3 meters and 12.2 meters. To the nearest tenth, what is the measure of the smallest angle?

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6. The area of a polygon is 320 square units, and one of its sides measures 48 units. The area of a second, similar polygon is 180 square units. What is the length of its side corresponding to the 48-unit side in the first polygon?
Solution:
The ratio between the area of smaller to bigger polygon is 180/320 or 9/16.
The ratio between the length of smaller to bigger polygon is sqrt%289%2F16%29 = 3/4.
length of side corresponding to the 48-unit side in the first polygon
= 48%283%2F4%29 = highlight%2836%29
11. The legs of a right triangle measure 19.3 meters and 12.2 meters. To the nearest tenth, what is the measure of the smallest angle?
Solution:
Let ϴ be the measure of the smallest angle
tan ϴ = 12.2/19.3
ϴ = tan inverse of 12.2/19.3 = highlight%2832.298%29 degrees