Question

As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree and walks 140 feet due north. He then turns and walks 60 feet due east. He turns again and walks 110 feet due south. How far is Henry from the tree? Round to the nearest tenth.

Answer 1

Answer:

Henry is 67.1 ft away from the tree

Step-by-step explanation:

To calculate the distance from the where Henry is to the base of the tree, we shall be needing a correct diagrammatic representation

Please check attachment for a breakdown that shows the diagrammatic representation of the question

In this question, we shall be calculating length d as seen in the attachment.

The cut-out triangle ECT models the triangle that can be used to calculate the required distance.

Mathematically, we can use Pythagoras’ theorem to calculate the distance d.

The Pythagoras’ theorem is used on right-triangles with the longest side being the hypotenuse which is d in this case

The law states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

Thus,

d^2 = 30^2 + 60^2

d^2 = 900 + 3600

d^2 = 4,500

d = √(4,500)

d = 67.08 which is 67.1 ft