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

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?

Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
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 = 3/4.
length of 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?
Solution:
Let ϴ be the measure of the smallest angle
tan ϴ = 12.2/19.3
ϴ = tan inverse of 12.2/19.3 = degrees
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