Suppose the angle of elevation to the top of a tree is 47 degrees. If you are standing 28 feet from the tree, how tall is the tree? Type your numerical answer only in the answer box. Round your answer to the nearest tenth!
The tree is _____ feet tall.
Did you make your diagram?
Which trig ratio do you think will fit your situation?
25
30. How i did it tan 47= x/28
You'd have to know how tall the frickin' person is that is looking at the tree.
To find the height of the tree, we can use trigonometry. In this case, we have the angle of elevation and the distance from the tree.
We can use the tangent function, which is defined as the opposite divided by the adjacent side of a right triangle. In this case, the opposite side represents the height of the tree, and the adjacent side represents the distance from the tree.
So, we can set up the equation as:
tan(angle of elevation) = height of the tree / distance from the tree.
Plugging in the values we have:
tan(47 degrees) = height of the tree / 28 feet.
Now, we can solve for the height of the tree.
First, take the tangent of 47 degrees:
tan(47 degrees) = 1.0723687100246803.
Next, multiply both sides of the equation by 28 feet:
1.0723687100246803 * 28 feet = height of the tree.
Now, calculate the result:
29.97833768069425 feet = height of the tree.
Therefore, rounding to the nearest tenth, the tree is approximately 30.0 feet tall.