419 because all you have to do is calculate it
Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
The two lines start at the same point outside the circle, using the intersecting Secants theorem, When you multiply the two dims for each line together, they are equal
For A:
5 * (5+x) = 6 * (6+4)
25 + 5x = 60
5x = 35
x = 35/5
x = 7
For B:
5 * (5+ 3) = 4 * ( 4+x)
40 = 16 + 4x
4x = 24
x = 24/4
x = 6
I’m sorry if I’m wrong but I believe it is >