We know that h = 65 ft and the angle of elevation to the top is α = 56°.
x - the length of the support wire;
x · cos 56° = 65
x = 65 / cos 56°
x = 65 / 0.5592
x = 116.237 ≈ 116.2 ft ( to the nearest tenth )
Answer: The support wire is 116.2 ft long.
Answer:
Step-by-step explanation:
<u>Let the required number be x, then we have the following equation:</u>
- 1/12x = 5/6
- 1/12x = 10/12
- 1/12x = 1/12*10
- x = 10
Isolate one term (x or y) in one of the equations
6x+6y=0
6x=-6y
X= -1y
Substitute x=-y into the other equation
-7(-y) + 2y =18
7y + 2y =18
9y=18
Y=2
Substitute y=2 into 6x+6y=0
6x + 6(2) = 0
6x + 12=0
6x= -12
X = -2