In the previous problem, you found the perimeter of a reduced triangle. explain how you found the new perimeter using proportions.

Step-by-step explanation:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b

(.perimeter ABC) /( perimeter DEF) =    (AB)/(DE)

Example:Triangle(ABC) with perimeter  24 . Find new triangle (DEF) using proportion 9/6

24/perim DEF = 6/9

Cross multiplication

(24*9) = 6*( perimeter of DEF)

216 = 6*(perimeter of DEF

Divide both sides by 6

36 = DEF

Triangule with perimeter 24 (find new perimeter)

The perimeter of the new triangle using proportion  6/9 is  36

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,