Question

when observer a distance of a top from tree 12m looks at the top of tree , the angle elevation is 60 what is height of tree
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Answer 1

Distance between the tree and the observer is 12m.

Angle of elevation is 60°.

Therefore,

tan 60° = x/12

x= 12√3

⇒ x = height of the tree = 20.78 m

Answer 2

Answer:

16.52 M

Step-by-step explanation:

This questions tests the knowledge and application of trigonometric ratios.

The height of the tree is the height of the right angled triangle formed and it is the opposite side to the angle of elevation.

The distance from the observer to the tree is the adjacent side to the elevation angle.

We will use Tan to solve for the height.

Tan = opposite / adjacent

Tan 60 = h/12

h = 12 Tan 60

h = 16.52 m

The height of the tree is = 16.52 M