<span>c=52, a=2b+8
a^2+b^2=c^2
(2b+8)^2+b^2=52^2
4b^2+32b+64+b^2=2704
5b^2+32b-2640=0 see below
b=20, a=48
48+20+52
=120"</span>
Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.
Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.
Then (13 ft)^2 = (5 ft)^2 + y^2, or
169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.
Note: Please pay attention to your spelling: "lader i up agenst a tree" should be "the top of a 13-ft ladder is placed against a tree."
Answer:
48?
Step-by-step explanation:
Answer:
Step-by-step explanation:
because i know math isn't wrong Hope this helps XD lol
Answer: Option C is the correct answer.
Step-by-step explanation:
Triangle STU is similar to triangle SVW. This means that the ratio of the length of each side of ∆STU to the length of the corresponding side of ∆ SVW is constant. Therefore,
ST/SV = TU/VW = SU/SW
SV = 12 + 18 = 30 in
Therefore,
12/30 = TU/40
Cross multiplying, it becomes
TU × 30 = 12 × 40
30TU = 480
Dividing the left hand side and the right hand side of the equation by 30, it becomes
30TU/30 = 480/30
TU = 16
