If segment FD = 30 units and segment FE = 55 units, what is the value of a? Round the solution to the nearest hundredth. triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees 22.62 28.44 41.41 61.39

is the correct answer.

Step-by-step explanation:

We are given a right angled triangle DEF with the following dimensions:

FD = 30 units

FE = 55 units

We have to find the value, a = ?

Please refer the attached image for the given triangle.

We can use trigonometric identities to find the value of a.

First of all, if we look at angle a, we can see that, we are given with the perpendicular (side FE) and base (side DF).

It means we can choose tangent among sine, cosine and tangent because perpendicular and base are used the identity. It is given as follows:

So, is the correct answer.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

the answer is 1/4

step-by-step explanation: