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:
2.5 or 2 1/2
Step-by-step explanation:
4 x 5= 20/8 = 2.5
:)))))
The value of the angle shown in the protactor is 50° and the value of y is 10°.
<h3>How to calculate the values?</h3>
The value of y will be:
2y + 30 = 3y + 20
3y - 2y = 30 - 20
y = 10
The value of x when they're complementary will be:
5x - 2 + 3x + 4 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88.
x = 88/8 = 12
The value of angle FDE will be:
3x + 10 + 6x + 8 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
FDE = 6x + 8
= 6(18) + 8
= 108 + 8
= 116
Learn more about angles on:
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4½ = 9/2
1 2/5 = 7/5
9/2 * 7/5 = 63/10 = 6 3/10