Answer:
Step-by-step explanation: 675 ssa SAS 342w
We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );
In the same way, m(<BCO) = (1/2) ·( x + y);
m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );
But, x + y + z = 180;
Then, m(<BOC) = 180 - (1/2)·( x + 180 );
Finally, m(<BOC) = 90 - (1/2)·x;
So, m(<BOC) = 90 - (1/2)·m(<BAC).
Using the given information, the height of the tree is 48 ft
<h3>Trigonometry </h3>
From the question, we are to determine the height of the tree
In the given diagram, the height of the tree is (x + 5) feet
First, we will determine the value of x
tan 47° = x / 40
x = 40 × tan47°
x = 42.89 ft
∴ The height of the tree = (42.89 + 5) ft
Height of the tree = 47.89 ft
Height of the tree ≈ 48 ft
Hence, the height of the tree is 48 ft.
Learn more on Trigonometry here: brainly.com/question/15821537
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