Question

1.Morgan drives 24 miles due north, then drives 7 miles due east from home to work. What is the distance between Morgan’s home and work, measured in a straight line?

2. Hailey is flying a kite on a string 25m long. The kite is directly above Cassi who is 15m from Hailey. How high is the kite above the ground?

Use the Pythagorean theorem to solve each problem. Show Calculations.

Answer 1

1) 25 miles

2) 20 m

Explanation:

Number 1 is going to be

`a^(2) + b^(2) = c^(2)` because it's a right triangle

So

`24^(2)` +
`7^(2)` =
`c^(2)`

625 =
`c^(2)`

c = 25 mile

Number 2 uses the same process, but changing to using C instead of A

a^2 = c^2 - b^2

a^2 = 625 - 225

a = \sqrt(400)

a = 20m