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ICSE Class 10 Answered

the upper part of the tree broken ovet by wind makes an angle of 45° with the ground and the distance from the root to the point where the top of the tree touches the ground is 15 m. what is the height of the tree before it was broken? please tell with figure
Asked by praggya.srivastava.g1972 | 02 Oct, 2023, 10:13: PM
answered-by-expert Expert Answer
Figure shows the broken part BC of tree falling and this broken part making angle 45o with ground.
 
As seen from figure , ΔABC is right angle at A  and its other angle is 45 , then this ΔABC is isoceless right triangle.
 
Hence AB = AC = 15 m
 
Borken part BC = begin mathsize 14px style square root of 15 squared plus 15 squared end root space space m space equals space 15 square root of 2 space m end style
 
Height of tree = AB + BC = 15 ( 1 + √2 ) m = 36.2 m
Answered by Thiyagarajan K | 03 Oct, 2023, 08:57: AM

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