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A tree was broken due to storm. it's broken upper part was so inclined that its top touched the ground making an angle of 30 with the ground the distance from foot of tree and the point where the touched the ground was 10 metre what was the height of the tree

User Lindstrom
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1 Answer

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Final answer:

Using the tangent function and substituting the given values, the height of the tree is approximately 5.77 meters.

Step-by-step explanation:

To find the height of the tree, we can use trigonometry. Let's define the following: h = height of the tree, d = distance from the foot of the tree to the point where the tree touched the ground, and θ = angle between the ground and the broken upper part of the tree. We are given that d = 10 meters and θ = 30 degrees.

Using the tangent function, we can set up the equation:

tan(θ) = h/d

Substituting the given values:

tan(30) = h/10

solve for h:

h = tan(30) * 10

Using a calculator, we find that h ≈ 5.77 meters.

User Alexsandra Guerra
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