Answer:
Height of the tree, h = 20.72 meters
Explanation:
Given that,
The sun is 21° above the horizontal, [tex]\theta=21^{\circ}[/tex]
Length of the shadow, d = 54 m
Let h is the height of the tree. It can be calculated using trigonometry as :
[tex]tan\theta=\dfrac{perpendicular}{base}[/tex]
Here, perpendicular is h and base is 54 meters.
[tex]tan(21)=\dfrac{h}{54}[/tex]
[tex]h=tan(21)\times 54[/tex]
h = 20.72 meters
So, the height of the tree is 20.72 meters. Hence, this is the required solution.
