Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house
Answer:
4
Step-by-step explanation:
100 = 2*2*5*5
84 = 2*2*3*4
the greatest common factor is a prime number whit most appearance in both numbers:
in this case the prime number is 2 and it is repeated twice in both numbers, hence 2*2 = 4
Answer:
3(2*-1)^2
solved is: 12
Step-by-step explanation:
First you have to find the angle B (check attachment)
![B = 180^{\circ} - 137^{\circ} = 43^{\circ}\\](https://tex.z-dn.net/?f=B%20%3D%20180%5E%7B%5Ccirc%7D%20-%20137%5E%7B%5Ccirc%7D%20%3D%2043%5E%7B%5Ccirc%7D%5C%5C)
Then you can find the last angle inside the triangle, which I'll call C
![C = 180^{\circ} - 102^{\circ} - 43^{\circ} = 35^{\circ}](https://tex.z-dn.net/?f=C%20%3D%20180%5E%7B%5Ccirc%7D%20-%20102%5E%7B%5Ccirc%7D%20-%2043%5E%7B%5Ccirc%7D%20%3D%2035%5E%7B%5Ccirc%7D)
Now you can find angle A
![A = 180^{\circ} - C = 180^{\circ} - 35^{\circ} = 145^{\circ}](https://tex.z-dn.net/?f=A%20%3D%20180%5E%7B%5Ccirc%7D%20-%20C%20%3D%20180%5E%7B%5Ccirc%7D%20-%2035%5E%7B%5Ccirc%7D%20%3D%20145%5E%7B%5Ccirc%7D)