A bird is perched at the top of a tree at an angle of elevation of 60° from a point a on the ground. If the bird descends half way down the vertical height of the tree, find the new angle of elevation from a to the new position of the bird perched.
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Answer:
40.9°
Step-by-step explanation:
tan 60 = h/l = √3
tan∝ = h/2l = √3/2
∝ = tan∧-1 (√3/2) = 40.9°
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The new angel of elevation form the new position of the bird perched is .
Step-by-step explanation:
Consider the provided information.
Let AB is x and BC is the height of tree = h.
D represents the Mid point which is half way down,
It is given that ∠CAB = 60° and we need to find the value of ∠DAB.
In ΔABC
In ΔDBA
Substitute the value of h in
The new angel of elevation form the new position of the bird perched is .
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The angle of depression of the top of a tree of height 30ft is 60• from the top of another tree. find the height of other tree
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