A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation to the top of the tower is 36°. Find the length of the wire (to the nearest foot). *

The length of the wire is 37.15 ft

Explanation:

The figure is attached for the reference.

tan (71) =

tan (36) =

So,

tan(36) (36 + x) = y

tan(71) =

Substituting x = 12.11 ft in equation 1:

Length of the wire, z =

So,

Therefore, the length of the wire is 37.15 ft

0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

hope this , good luck!

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240