Question

from the terrace of a house 10 m high the angle of elevation of the top of the tree is 30 . if the distance between the house and the tree is 10 m find the height of the tree

Answer 1

Answer:

this is your answer that is 10√3m , hope it will help you

Answer 2

Answer:

The height of the tree is $15.77m.$

Step-by-step explanation:

Given:

The terrace of a house $10m$ high the angle of elevation of the top of the tree is $30.$

Distance between the house and the tree is $10m.$

Find: The height of the tree.

Solution:

According to the question:

Now, In $\triangle ADE$

$tan30 ^\circ=\frac{x}{10}$

$x=\frac{10}{\sqrt{3} }$

So, Height of the tree is $DE+CD$

$=\frac{10}{\sqrt{3} }+10$

$=5.77+10$

$=15.77m$

Hence, the height of the tree is $15.77m.$

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