A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 86 feet long is attached from the ground to the
top of the pole. Find the angle between the wire and the pole to
the nearest degree
60 ft
86 ft
The angle between the wire and the pole is approximately how many degrees.
(Round to the nearest degree.)

45.56

Step-by-step explanation:

need to find the base

86^2 = 3600+b^2

b=61.62

tanx = 61.61/60 = 1.02

x = 45.56

0 < x < 1

Step-by-step explanation:

the derivative of the curve allows one to compute the slope:

(1/1-x) is the value of the slope, which depends of the point x. By using the line equation we have:

where yl is the tangent line of the original curve y in the point x.

For the intersection point (0,2), with b=2, we obtain:

The denominator must be different of zero. And the original curve y(x) only can take values of x < 1. Hence the positive value of x for the tangent line will be:

0 < x < 1

hope this helps!!