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A bird sitting at the top of a tree looks down at an angle of 500 , at an earthworm on the ground. If the earthworm is 7m away from the base of the tree, determine the height of the tree to 1 decimal place.

Respuesta :

Answer: 8.3 m

Step-by-step explanation:

Given

The angle of declination is [tex]50^{\circ}[/tex]

Earthworm is [tex]7\ m[/tex] away from the base of the tree

Suppose h is the height of the tree

from the figure, we can write

[tex]\Rightarrow \tan 50^{\circ}=\dfrac{h}{7}\\\\\Rightarrow h=7\tan 50^{\circ}=8.3\ m[/tex]

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