Question

Javier moves backward so that his horizontal distance from the palm tree is 3 feet greater. Will the distance from his eyes to the top of the tree also be 3 feet greater? Explain.

Answer 1

Yes it will be greater, he is moving back 3 feet so what you are doing is taking the leg (a2) and multiplying it by 3. Once you do, you see triangle 1 has double and so did triangle 2. Triangle 1 was originally 5.6 (rounded to 6) than went up to 26.1. Triangle 2 was originally 24 and went up to 74.7 (or 75)

Explanation:

Triangle 1 (when multiply by 3)

a2+b2=c2

7(square to 2)+b2=27(square to 2)

49+b2=729

-49 -49

--------------------

b2=680

(square root it)

b=26.1 Rounded to nearest tenth

Triangle 2:

a2+b2=c2

7(square to 2)+b2=75(square to 2)

49+b2=5625

-49 -49

-------------------

b2=5576

(square root it)

b=74.7 (or 75 rounded to nearest tenth)

Hope this helps anyone who needs it :)