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) )
<span>1. 12
2. 225 sq. ft.
3. 6.25 sq. ft.
4. no
5. $3.00
6. 6
please make my answer best answer thank you
p.s. the very first question is 600 sq. in.</span>
V = lwh
3 = (30)(40)(h)
3 = (1200)(h)
<u> </u><u>3 </u><u> </u><u /> = <u>1200h</u>
1200 1200
1/400 = h
