You have to build the triangles.
They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the hypotenuse
Then in this triangle: tan(beta) = h / x ......(1)
1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x and h
Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)
from (1) , x = h / tan(beta)
Substitute this value in (2)
tan(alfa) = h / { [ 1 - h / tan(beta)] } =>
{ [ 1 - h / tan(beta) ] } tan(alfa) = h
[tan(beta) - h] tan(alfa) = h*tan(beta)
tan(beta)tan(alfa) - htan(alfa) = htan(beta)
h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)
h = tan(beta)*tan(alfa) / (t an(alfa) + tan(beta) )
Answer:
9.209
Step-by-step explanation:
On the thousandths place, 9 is bigger than 2.
Answer:
I believe it would be 5.25 let me know if i'm wrong!
Step-by-step explanation:
Answer:
15 ft 1 in
Step-by-step explanation:
To convert inches into feet, we divide by 12.
- 12 goes into 181 fifteen times, so the # of feet is 15 feet.
- 12 x 15 = 180.
- 181 - 180 = 1, so the # of remaining inches is 1 inch
Therefore, the answer is 15 ft 1 in.