Answer:
Larry will need to anchor the rope 16 feet away from the base of the pioneer's feet.
Step-by-step explanation:
We can use the Pythagorean theorem to solve this answer. The theorem states that [tex]a^{2}+ b^{2}= c^{2}[/tex]. C represents the hypotenuse (the longest side of the triangle) and A and B represent the other two sides. We already know what C is (34, from the 34 foot rope) and we know one of the sides (30, from the 30 foot pioneer). Let's have side A equal 30. Now, all we need to do is solve for the final side:
[tex]30^{2}+ b^{2} =34^{2} \\900+b^{2} =1156\\b^{2} = Ā 256\\\sqrt{b^{2} } = \sqrt{256}\\ Ā b = 16[/tex]
We know now that the anchor will have to be 16 feet away from the pioneer's feet.
