Answer:
Step-by-step explanation:
![(\frac{5}{2})^{x}+(\frac{5}{2})^{(x+3)}=(\frac{5}{2})^{x}+(\frac{5}{2})^{x}*(\frac{5}{2})^{3}\\\\=(\frac{5}{2})^{x}*[1+(\frac{5}{2})^{3}]](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B%28x%2B3%29%7D%3D%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2A%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B3%7D%5C%5C%5C%5C%3D%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2A%5B1%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B3%7D%5D)
Therefore,

You need to know atleast 2 of three sides from a triangle, or 1 side and 1 angle of a triangle. Then you can use trigonometry to find the angle needed.
Answer:
-12
Step-by-step explanation:
We can just try and find what works! since we can subtract 12 from -2 and get -14, we might try subtracting 12 every time. After we test it out, we see that is is correct!
Answer:
Distance of ladder top from ground = 9.2 meter (Approx.)
Step-by-step explanation:
Given:
Angle of elevation between ground and ladder = 43°
Length of ladder = 13.5 meter
Find:
Distance of ladder top from ground
Computation:
Length of ladder = Hypotenuse
Distance of ladder top from ground = Perpendicular
Sinθ = Perpendicular / Hypotenuse
Sin 43 = Distance of ladder top from ground / Length of ladder
0.6819 = Distance of ladder top from ground / 13.5
Distance of ladder top from ground = 9.20565
Distance of ladder top from ground = 9.2 meter (Approx.)