Answer:
The answer to your question is h = 125.85 ft = 126 ft
Step-by-step explanation:
Process
1.- Determine two equations to solve the problem
(1)
(2)
from (1) h = xtan14
substitute in (2) tan 47 = 
solve for x tan47(x - 386) = xtan14
1.07x - 413.9 = 0.25x
1.07x - 0.25x = 413.9
0.82x = 413.9
x = 413.9/0.82
x = 504.76 ft
2.- Calculate h
h = 504.76 tan 14
h = 125.85 ft = 126 ft
One hundred thousand, nineteen million,three.
Answer:

Step-by-step explanation:
You have the following quadratic equation given in the problem:

You must make the equation equal to zero, as following:

Add like terms:

Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:

The volume of the cone is:
V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.
V=pi×r²×h/3=pi×1.5²×5/3=11.775in³
The closest indicated value is the first one, 11.78in³
Question 1: You just do 400 x 14, and the answer is 5,600.
Question 2: You divide 7,600 by 400, and the answer is 19.