Amanda and jamie are standing 25 feet apart and spot a bird in the sky between them the angle of elevation from Amanda is 25 feet apart and spot a bird in the sky between them the angle of elevation from Amanda to the bird is 55 and from Jamie to the bird is 63 how far away is the bird from Amanda

25.2294 feet

Step-by-step explanation:

We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).

First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:

y + 55 + 63 = 180

y = 62°

The relation between the angles and the distances are:

25 / sin(y) = x / sin(63)

25 / 0.8829 = x / 0.8910

x = 25 * 0.8910 / 0.8829 = 25.2294 feet

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c