Question

The telephone cable in the illustration runs from A to B to C to D. How much cable in yards is required to run from A to D directly

Answer 1

170 yd

Step-by-step explanation:

To find the distance from A to D directly, we will complete the figure as follows:

So, we have a right triangle with legs of 72 yd and 154 yd because:

50 yd + 104 yd = 154 yd

Then, using the Pythagorean theorem, we can find the length of the hypotenuse AD as follows:

`AD=\sqrt[]{72^2+154^2}`

Therefore, the value of AD is:

`\begin{gathered} AD=\sqrt[]{5184+23716} \\ AD=\sqrt[]{28900} \\ AD=170\text{ yd} \end{gathered}`

So, the answer is 170 yd