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CBSE Class 10 Answered

John stands on the bridge and observes that the angles of depression of the banks on opposite sides of river Absyssa are 45º and 60º respectively. The bridge is at a height of 6 m from the banks. Calculate the width of the river Absyssa?
Asked by Topperlearning User | 02 Nov, 2017, 09:34: AM
Expert Answer
In the figure, let A and B represent points on the bank on opposite sides of the river Absyssa, so that AB is its width.
P is a point on the bridge at a height of 6 m, that is, DP = 6 m.
We have to calculate the width of the river, which is the length of the side AB of triangle APB.
Now, AB = AD + DB
In the right angled triangle APD, ÐA = 45º
Therefore, we have calculated the width of the river Absyssa to be equal to fraction numerator size 12px 6 open parentheses square root of size 12px 3 size 12px plus size 12px 1 close parentheses over denominator square root of size 12px 3 end fraction m.
Answered by | 02 Nov, 2017, 11:34: AM
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