Answer:
437.3 ft
Step-by-step explanation:
By sine rule:
![\frac{x}{ \sin(90 - 29) \degree} = \frac{500}{ \sin \: 90 \degree} \\ \\ \frac{x}{ \sin 61 \degree} = \frac{500}{1} \\ \\ x = 500\sin 61 \degree \\ \\ x = 500 \times 0.8746197071 \\ \\ x = 437.309854 \\ \\ x = 437.3 \: ft](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B%20%5Csin%2890%20-%2029%29%20%5Cdegree%7D%20%20%3D%20%20%5Cfrac%7B500%7D%7B%20%5Csin%20%5C%3A%2090%20%5Cdegree%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bx%7D%7B%20%5Csin%2061%20%5Cdegree%7D%20%20%3D%20%20%5Cfrac%7B500%7D%7B1%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20500%5Csin%2061%20%5Cdegree%20%5C%5C%20%20%5C%5C%20x%20%3D%20500%20%5Ctimes%200.8746197071%20%5C%5C%20%20%5C%5C%20x%20%3D%20437.309854%20%5C%5C%20%20%5C%5C%20x%20%3D%20437.3%20%5C%3A%20ft)
Answer:
there is 2 solutions.
Step-by-step explanation:
just graph it
![\huge \bf༆ Answer ༄](https://tex.z-dn.net/?f=%5Chuge%20%5Cbf%E0%BC%86%20Answer%20%E0%BC%84)
According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)
So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)
Now, let's solve ~
Therefore, Length of side a is 5 units ~
Answer:
Tens place
Step-by-step explanation:
Answer:
The arrangement of the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity is given below;
m(x), k(x), i(x), g(x), l(x)
Step-by-step explanation:
Since the limit of all the function as x tends to infinity is a non-infinite value, the limit converges.
We must understand that lim of a/x as x tends to infinity is equivalent to zero where a is any constant.
Let's take the function one after the other.
For l(x) = 5x²-4/x²+1
Dividing through by highest power of x i.e x²
lim x-> \infty 5x²-4/x²+1
lim x-> \infty 5x²/x²-4/x²/x²/x²+1/x²
lim x->∞ 5-4/x²/1+1/x²
=5-4/∞/{1+1/∞²}
= 5-0/1+0
= 5/1
= 5
Hence lim x-> \infty 5x²-4/x²+1 = 5
Find the remaining solution in the attachment below.