Which situation could be represented by the equation 10.75 = 5.5n? Ricardo ran 5.5 miles.
He ran each mile in 10.75 minutes.
What is n, the total number of minutes it took Ricardo to run 5.5 miles?
Ricardo ran a total of 10.75 miles.
He ran 5.5 miles each hour.
What is n, the number of hours Ricardo ran?
Ricardo ran 10.75 hours one week and 5.5 hours the next week.
What is n, the total number of hours Ricardo ran during these weeks?
Ricardo ran a total of 10.75 miles on Monday.
He ran 5.5 miles in the morning and the rest of the miles in the evening.
What is n, the number of miles Ricardo ran in the evening?

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet