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From an aero plane vertically above a straight horizontal road, the angles of depression of two consecutive milestones on opposite sides of the aero plane are observed to be α and β. Show that the height of the aero plane above the road is
Tan α tanβ/ tan α + tanβ
Ans: Let P Q be h
QB be x
Given : AB = 1 mile
QB = x
AQ = (1- x) mile in ?PAQ
Tan α PQ /AQ
Tan α = h/1 - x
1-x = h/Tan α .............1
In ΔPQB
Tan β = h/ x
x = h/Tanβ
Substitute for x in equation (1)
1 = h/Tanβ + h /Tanα
1/h = Tanβ + Tanα/TanβTanα
∴h = Tan α tanβ/ tan α + tanβ
1. Write down the canonical equations of the line passing through the point A(2,3, 4) and being parallel to the vector q ={5,0,-1}.
The Dow Jones Industrial Average fell 2% presently. The Dow began the day at 8,800. What was the Dow at the end of the day after the 2% drop? The Dow lost 2%, so it is worth 9
? (2x+3)dx
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E1) What is the difference between the two models listed above? Which is more difficult for children to understand? E2) List some activities and word problems that you would exp
2/3 - 7/12
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