Question

The Pythagorean Theorem and its Converse pt. 2

(Question 10)

Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.

Answer 1

1 hour - how many more hours will the tank be out of gas

Explanation:

The path of the boat, the horizontal distance and vertical distance from the dock are in the shape of a right triangle

Distance of boat from dock after 1 hour
d =
`√(6^2 + 8^2) = √(36 + 64) = √(100) = 10\;mi\\`

Speed of boat = 10mph

distance that can be traveled with 4 gallons of fuel

d = 5 mpg x 4 g = 20 miles

The boat has already traveled 10miles in the diagonal direction. Assuming same trajectory, the boat can travel 20 - 10 = 10 miles more

10 miles ==> 1 hour more at 10 mph

So additional time the boat can travel = 1 hour

I hope that helps. Tried to do my best to cut down the words