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CBSE Class 10 Answered

Find the angle of depression of a boat from the bridge at a horizontal distance of 25m from the bridge, if the height of the bridge is 25m.
Asked by minnumurali13 | 22 Aug, 2020, 08:08: PM
answered-by-expert Expert Answer
Let BC be the height of the bridge. So, BC= 25 m
Let AB be the distance of the boat from the bridge. So, AB= 25 m

Now, in ∆ABC, we have ∠B = 90° and let ∠ACB = θ
∠ACB = ∠DAC = θ [ alternate angles]
Now, tan θ = AB / BC
tan θ = 25 / 25
tan θ = 1
tan θ = tan 45°    [ tan 45° = 1]
θ = 45°

Hence, the  angle of depression  of the boat from the  bridge is 45°.
Answered by Renu Varma | 23 Aug, 2020, 09:02: PM

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