Question

A girl standing at a distance of 10 m from the food of the coconut tree observe its top at an angle of elevation of 30 degree

Answer 1

Given:

A girl standing at a distance of 10 m from the foot of the coconut tree observe its top at an angle of elevation of 30 degree

To Find:

Find the height of the coconut tree

Solution:

It is given that the girl is standing at a distance of 10m from the foot of the tree and the angle of elevation is 30 degrees, So it will form a right-angled triangle with the base as 10m and perpendicular as the height of the tree,

So we can create an equation for the tangent of the triangle that is,

$tan\theta=\frac{p}{b}$

Now let the height be x, and the base is 10m, put the values and take theta as 30

$tan 30=\frac{x}{10}\\\frac{1}{\sqrt{3} } =\frac{x}{10} \\x=\frac{10}{\sqrt{3} } m$

Hence, the height of the coconut tree is 10/root3 m.