Question

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Answer 1

Part A) 10 meters

Part B) 24 meters

Explanation:

We are going to be using the Pythagorean Theorem, that applies exclusively to right triangles:

`x^2+y^2=z^2`

By counting the bottom and left sides of the triangle, we know that the length is 6, and 8 meters respectively.

Now, apply the Pythagorean Theorem to find the Hypotenuse:

`6^2+8^2=z^2`

Simplify:

`36+64=z^2`

Add:

`100=z^2`

Take the Square Root of Both Sides:

`z=10`

Now, we know that the distances from the starting point to Obstacle 2 is 10 meters (Part A)

To solve Part B, simply add the length of all 3 sides

`(6)+(8)+(10) = 24`

The length of the entire course is 24 meters (Part B)