The angle of elevation of a bird from a point 12 metres above the lake is 300 and the angle of depression of its reflection in the lake is 600. Find the distance of the bird from the point of observation.
Dear Student,
Please find below the solution to the asked query:
From given information we form our diagram , As :
Here , Level of lake = DE , Bird at point " C " and reflection at " F " and observer at point " A " .
Let , Distance from point of observation to bird = AC = x
And
BC = h m , AD = BE = 12 m , EF = 12 + h ( As reflection have same distance from surface )
We know , , So
In triangle ABF
And
In triangle ABC
We know
So,
In triangle ABC
Therefore,
Distance from point of observation to bird = 12 m ( Ans )
Hope this information will clear your doubts about Some Applications of Trigonometry .
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards