Answer:
It is a right triangle
Step-by-step explanation:
Let,
Base of the triangle = b = 10.5 feet
Hypotenuse of the triangle= h = 14.5 feet
Perpendicular of the triangle = p = 10 feet
According to Pythagoras theorem;
As both side is equal, so it is a right triangle.
The angle of elevation of the sun from the ground to the top of a tree is 36°.
We are given that:
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trigonometric identity .
tan θ = P / B
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trigonometric identity .
tan θ = 10 / 14
θ = 36°
Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.
Learn more about angle of elevation here:
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