An anchor line for a tower needs to be replaced the tower is 96ft tall. The anchor line is 10ft long. How far from the tower can it be placed to the nearest foot
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
Height of the tower: 96 ft
The anchor line is 10 ft long.
Determine how far from the tower can it be placed to the nearest foot.
Solution:
The given statement represents are right triangle, where 96 ft is the height, and 10 ft is the base, hence we can solve for the other side of by using the Pythagorean theorem.
c^2 = a^2 + b^2
a = 96 ft
b = 10 ft
c=√(a^2+b^2)
c=√((96)^2+(10)^2)
c=√9,316
c = 96.5 ft
Final answer:
96.5ft