I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1
next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive
21 is the right answer goodluck
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
<h3>What is a regular octagon?</h3>
It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 +
) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
brainly.com/question/858868