Question

the angle of depression of the top of a tree of height 30ft is 60• from the top of another tree. find the height of other tree​

Answer 1

$h = x\sqrt{3}$

Step-by-step explanation:

* please refer the figure attached.

since, we have only two information as the height of smaller tree and angle of depression.

We assume the height of larger tree if h feet and the distance between both trees, is x feet.

Then,

• $tan 60\degree = \dfrac{h}{x}$

• $\sqrt{3} = \dfrac{h}{x}$

• $h = x\sqrt{3}$

But, we have no any  information that we would use the height of smaller tree.