1. haw orchard mountain is 5080 feet high. from a point x feet away from haw orchard mountain, the angle
of elevation to the top of the mountain is 58º. what is the value of x?

x=3174.3 feet

Step-by-step explanation:

As the triangle including x, the height of the mountain is a right angled triangle.

Now we know that in a right angled triangle the tangent of an angle is the ratio of the opposite side and the adjacent side.

Tan α=

here opposite side=5080 feet

adjacent side=x feet

α=58°

Tan 58° = 5080/x

x=5080/1.30=3174.3 feet.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)