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) )
36:8, 9:2, and 72: 16
Step-by-step explanation:
two ratios that are equivalent to 4:18
36:8, 9:2, and 72: 16
would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For
Answer:
the constant is 2
Step-by-step explanation:
since 2 is alone without any variables
Answer and explanation are in the picture
Answer:
1/4
Step-by-step explanation:
11/44 =
11/(22 × 11) =
(11 ÷ 11) / ((22 × 11) ÷ 11) =
1/22 =
1/4
