Question

skillstream: determining the distance between two points using the pythagorean theorem: 30 coins
type the answer in the space provided. use numbers instead of words.
a zipline at an adventure park goes between two trees that are 30 meters apart. the zipline starts at a platform 15 meters above the ground in the first tree and runs diagonally ending at a the base of the second tree. what is the length of the zipline? round your answer to the nearest tenth.
answer
the zipline is meters long

Explanation:

Step1: Identify right - triangle sides

The horizontal distance between the trees is $a = 30$ meters and the vertical distance is $b=15$ meters. The length of the zipline is the hypotenuse $c$ of a right - triangle.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$. Substitute $a = 30$ and $b = 15$ into the formula: $c=\sqrt{30^{2}+15^{2}}=\sqrt{900 + 225}=\sqrt{1125}$.

Step3: Calculate and round

$\sqrt{1125}\approx33.5$ (rounded to the nearest tenth).

Answer:

33.5