In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
there is no answer because there is no .Th in what ever you ate trying to talk abput
121 km is the answer to the question
Answer:
5.75 ft on each side
Step-by-step explanation:
6ft*8ft=48ft
71ft-48ft=23ft
23-4=5.75ft
Total miles= rate x time
We can set up 2 eq:
24=(x+8)(y-4)
24=xy
Where x is equal to my original rate
and y is equal to the original time spent traveling the 2mi
We can now solve for one of the variables and find our rate