from a point on a bridge across a river the angles of depression of the banks on opposite sides of the river 30degree and 45degree if the bridge is at a height of 3m from the bank . fiind the width of the river
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In the figure above ↑↑
A and B represent points on the banks on opposite sides of River.
So, AB is width.
Height of brigde, DP = 3m
Now,
AB = AD + DB
In right triangle ABD, Angle A = 30°
So,
tan30° = PD/AD
In triangle PBD, Angle B = 45°
So BD = PD = 3m
Now,
AB = DB + AD
Hence, The width of river is:
HOPE IT HELPED ^_^
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Answer:hope it helps ☺
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