Question

A vertical pole is supported by two ropes staked to the ground on opposite sides of the pole one rope is 8 meters long and the other is 7 meters the distance between the stakes is 6 meters and the height of the pole is meters

Answer 1

It's a fill in the blank question, asking for the height of the pole in meters

Answer choices:

a) 3.30
b) 3.78
c) 6.17
d) 6.78

I'll let someone else have a chance first 'cause I'm a little busy rn

Answer 2

i am legit so bad at math i have to bother @nishio about helping me i'm just here cause i am

Answer 3

Best way is to visualize the problem.

Answer 4

You can set two equations based on Pythagorean and solve for x

Answer 5

\[x^2=8^2-y^2 ...(1)\]
\[x^2=7^2-(6-y)^2\]
\[64-y^2=49-(6-y)^2\]
\[64-49=y^2-(6-y)^2\]
\[15=y^2-(36-12y+y^2)\]
\[15=y^2-36+12y-y^2\]
12y=15+36=51
\[y=\frac{ 51 }{ 12 }=\frac{ 17 }{ 4 }\]
now find x using (1)