Answer:B
Step-by-step explanation:
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio
![Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB](https://tex.z-dn.net/?f=Sin%20%5Ctheta%20%3D%20%5Cfrac%7Bperpendicular%7D%7BHypotenuse%7D%5C%5CSin%2045%3D%20%5Cfrac%7BAB%7D%7BAC%7D%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cfrac%7BAB%7D%7B100%7D%5C%5C100%20%5Ctimes%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3DAB%5C%5C70.71%3DAB)
Hence The height of tree house is 70.71 feet
Answer:
8.06 is the best buy
Step-by-step explanation:
Given :
A function, f(x) = -6 + 12
To Find :
The value of f(x) when x= -3, x= 0 and x=1.
Solution :
Given function is f(x) = -6 + 12 .
Simplifying above function, we get :
f(x) = 6
Now, the given function is independent of x.
So, for any value of x the the value of functions remains constant.
Hence, this is the required solution.