of the tree touches the ground making an angle ° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find
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In right ΔABC,
Using Cosine and tangent angles,
cos 30° = BC/AC
We know that, cos 30° = √3/2
√3/2 = 8/AC
AC = 16/√3 …(1)
Also,
tan 30° = AB/BC
1/√3 = AB/8
AB = 8/√3 ….(2)
From (1) and (2),
Total height of the tree = AB + AC =
16/√3 + 8/√3 = 24/√3 = 8√3 m.
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