two tree are 13 CM and 5m high if the horizontal distance between their root is 6m then the distance between their tops is (a) 8m (b) 5m (c) 10m (d) 6m
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Answer: The distance between their tops is (c) 10m.
Step-by-step explanation: Refer to attached image:
In rectangle ABCD:
- AB = DC = 6m - (i)
- AD = BC = 5m
ED = EA + AD
=> 13 = EA + 5
=> EA = 13 - 5 = 8m - (ii)
In Δ EAB:
- AB = 6m [from (i)]
- EA = 8m [from (ii)]
- ∠ A = 90°
- EB² = AB² + EA² [Using Pythagoras' Theorem]
=> EB² = 6² + 8²
=> EB² = 36 + 64 = 100
=> EB = √100 = 10m.
The distance between their tops is (c) 10m.
Hope it helps! Have a good day! Please mark as brainliest answer! :D
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