A string with a length of 13.1 m is tightly tied between two trees.The second tree is some distance east and north of the first tree.If the second tree is 9.8 m east of the first tree,how far north of the first tree is the second tree?
A)3.3 m
B)6.6 m
C)8.7 m
D)11.5 m
E)22.9 m

Question

Quizplus · Accepted Answer

We can use the Pythagorean Theorem to solve this problem. Let x be the distance north of the first tree to the second tree.
Then we have:
(9.8)^2 + x^2 = (13.1)^2
Simplifying this equation, we get:
x^2 = (13.1)^2 - (9.8)^2
x^2 = 171.21
x = √171.21 ≈ 13.1 m
Therefore, the second tree is 8.7 meters north of the first tree.

A String with a Length of 13