a bird flies due north 2 miles then east 3 miles then north 4 miles then east 5 miles how far is the nest from the ocean

travel 100 miles and it took me one hour and 45 minutes to get to my destination .what is the rate of speed i was traveling ?

To find out how far the nest is from the ocean, we can break down the bird's movements and calculate the distance.

First, let's draw a diagram to visualize the bird's path:

4 miles
-------------
| |
| | 3 miles
| |
-------------

^ 2 miles >
| |
Start <4 miles Nest

The bird initially flies 2 miles due north. Then it turns east and covers 3 miles. Next, it continues north for 4 miles and then goes east again for 5 miles. Now we have a right-angled triangle formed by the bird's path.

Using the Pythagorean theorem, we can find the distance of the straight line between the starting point and the nest.

Let's calculate it step by step:

1. Find the distance covered by the bird in the north direction: 2 miles + 4 miles = 6 miles.
2. Find the distance covered by the bird in the east direction: 3 miles + 5 miles = 8 miles.

Now, we can apply the Pythagorean theorem:

Distance^2 = (Distance North)^2 + (Distance East)^2
Distance^2 = 6^2 + 8^2
Distance^2 = 36 + 64
Distance^2 = 100

Taking the square root of both sides, we find:

Distance = √100 = 10 miles

Therefore, the nest is approximately 10 miles away from the ocean.