For this case, the first thing to do is to observe that the figure is symmetrical with respect to the FH axis.
Therefore, the following lengths are the same:

So, by equalizing both sides we have:

From here, we clear the value of m.
We have then:


Answer:
The value of m is given by:


There is one solution to this system of equations. The answer is B.
Angles 2 and 6 are corresponding angles, which would explain why they are congruent if lines a and b are parallel, but there is nothing in the problem to explain that any of the angles equals 60 degrees since no measurements were given in the diagram.
Answer:
The value of the trigonometric-ratio:
Step-by-step explanation:
Given the angle X
It is clear that:
- The opposite of the angle X = 48
- The adjacent to the angle X = 14
We know that the trigonometric-ratio of Tan X is defined as
Tan X = Opposite / Adjacent
substituting Opposite = 48, and Adjacent = 14
Tan X = 48/14
Tan X = 24 / 7
Therefore, the value of the trigonometric-ratio:
If we are to connect the root of the tree to a person to the top of the tree, we form two right triangles. If we let x and and 200 - x be the distance of Harris and Annabelle from the tree, respectively and h be the height, we form the trigonometric functions,
tan 30° = h/x
tan 35° = h/(200 - x)
The values of h and x in the equations are 63.28 ft and 109.62 ft, respectively. Thus, the answer to this item is approximately 63.28 ft.