Find the angle of elevation of 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. Round to the nearest degree. o 54 degrees. o 36 degrees. o 46 degrees. o 44 degrees
2 answers:
Answer:
The angle of elevation of the sun from the ground to the top of a tree is .
Step-by-step explanation:
As given
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 trignometric identity .
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trignometric identity .
Therefore the angle of elevation of the sun from the ground to the top of a tree is .
Here is the solution of the given problem above. Given: Height of tree = 10 yards Shadow of the tree = 14 yards ? = Angle of elevation of the sun from the ground to the top of the tree In this problem, we are going to use the <span>inverse tangent trigonometric identity. The correct answer would be 35.5 degrees. Round this off to the nearest degree and we get 36. Therefore, the correct answer would be 36 degrees.</span>
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