Question

this one's kind of tricky for me I need help​

Answer 1

Answer:

The rope is 12.81 meters long.

Step-by-step explanation:

What this question, or word problem, is saying here is the lengths of a triangle's sides. The height is 10 meters, and the width is 8 meters.

We need to use the pythagorean theorem in order to find the length of the rope that is connected to the hook.

Pythagorean theorem: $a^{2} +b^{2} = c^{2}$

Step 1- Insert the known lengths.

8^2+10^2= c^2

Step 2- Multiply to simplify.

(8×8)+(10×10)= c^2

64+100= c^2

Step 3- Add.

164= c^2

Step 4- Find the square root.

$\sqrt{164}$$=\sqrt{c^{2} }$

c= 12.8062484749

c≈12.81

Hope this helps! :)