A 12-foot wire supports a tree creating a 48 degreee angle. What is the closest distance up the tree that the wire reaches?
1 answer:
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Answer:
(- 16.7, 5.2 )
Step-by-step explanation:
let the coordinates of the endpoint be (x , y )
using the midpoint formula
consider the x- coordinate
(x + 1.7) = - 7.5 ( multiply both sides by 2 )
x + 1. 7 = - 7.5 ( subtract 1.7 from both sides )
x = - 16.7
consider the y-coordinate
(y - 4.6 ) = 0.3 ( multiply both sides by 2 )
y - 4.6 = 0.6 ( add 4.6 to both sides )
y = 5.2
endpoint = (- 16.7, 5.2 )