Question

Mr. Johnston supports a young tree by using a stake and a string forming a right angle with the ground. View the diagram.What is the length of the string? Round to the nearest tenth.

Answer 1

The length of the string is 68.5 inches

Here, we want to find the length of the string

From the diagram, we can see that what we have is a right angled triangle

Mathematically, we can apply the Pythagoras' theorem to get the length of the string, which represents the hypotenuse

Thus, we have it that the square of the hypotenuse equal the sum of the squares of the two other sides

Let us represent the length of the string by s

Thus, we have it that;

`\begin{gathered} s^2=60^2+33^2 \\ s^2=\text{ 3600 + 1089} \\ s^2\text{ = 4689} \\ s\text{ = }\sqrt[]{4689} \\ s\text{ = 68.5 in} \end{gathered}`