Question

READING: TYPE 1The end of a dog's leash is attachedto the top of a 5-foot-tall fence post,as shown in the diagram below. Thedog is 7 feet away from the base ofthe fence post. How long is theleash, to the nearest tenth of a foot.Leash5 ftFOR EACH QUESTION, USEWYPOTENUSE" OR "LEG" IN YOURRESPONSE:7 ftDog1. WHAT WERE YOU GIVEN IN THISQUESTION?2 WHAT WERE YOU LOOKING FOR?Students, write your response!Pen Deck Interactive SlideDo not remove the bas

Answer 1

From the question,

we are required to get the Hypothenuse

To find the length of the leash. This means we are to get the hypotenuse

To obtain the hypotenuse, let's apply the Pythagoras theorem

`\begin{gathered} \text{Hypotenuse = }\sqrt[]{5^2+7^2} \\ \\ \text{Hypotenuse = }\sqrt[]{25\text{ + 49}} \\ \\ Hypotenuse\text{ =}\sqrt[]{73} \\ \\ \text{Hypotenuse = 8.6 ft} \end{gathered}`

To the nearest feet, The Length of the Leash = 9 ft

1. We were given the two legs

2. We were told to obtain the Hypotenuse