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. 4. Solve the following questions : (Any Three)() A tree is broken by the wind. The top touched the ground making an eat a distance of 30 m from the foot of the tree. Whatwas the height |
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Answer» given : distance between the foot of the tree and the broken part of the tree that touches the ground = 30 mlet ,the height ofstanding part of the tree be = htheheight of fallen part (forms hypotenuse) be = xthen height of the tree will be = h + xnow,tan 30 = h/30 m 1/√3 = h/30 m 30/√3 = h ⇒ h= 30/√3 m ..... 1similarly,cos30 = 30 m/ x √3/2 = 30/ x√3x = (30)2√3x = 60 m⇒x = 60 /√3 m ......2 (we now have both value of h and x ) on adding equation1 & 2 :⇒h + x = 30 /√3 +60 /√3 =90 /√3 m = 60√3 mso , the total height of the tree is 60√3 m . |
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