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:
15 Square Inches
Step-by-step explanation:
Volume of the cone=40 cubic inches
Height of the cone=8 Inches
<u>Step 1:</u> Applying the formula for the volume of a cone
Volume of a Cone
<u>Step 2:</u> Substituting values for the variables

<u>Step 3:</u> Simplifying the right side

<u>Step 4:</u> Multiplying by the reciprocal

<u>Therefore, Base Area of the Cone=15 Square Inches</u>
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Answer:
8 hours and 31 minutes per day
Step-by-step explanation:




Answer: (A) The product of two numbers with the same sign is positive.
Since the numbers in each pair have the same sign, the product will be positive.
Answer:
4/7/10
40/7 which is equal around 5. something...round
5 is your answer
Step-by-step explanation: