A hummingbird’s nest is 9.5 meters high in a tree and a flower is on the ground 2.9 meters away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower? If necessary, round to the nearest tenth.
meters
How far will the hummingbird need to fly to get from its nest to the flower?
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To find the distance the hummingbird needs to fly from its nest to the flower, we can use the Pythagorean theorem. The height of the nest represents one side of a right triangle (9.5 meters), and the distance from the base of the tree to the flower represents the other side (2.9 meters).
The formula is:
[ c = sqrt{a^2 + b^2} ]
Where:
– ( a ) is the height (9.5 meters)
– ( b ) is the distance (2.9 meters)
– ( c ) is the distance the hummingbird will fly
Now, plug in the values:
[
c = sqrt{(9.5)^2 + (2.9)^2}
]
[
c = sqrt{90.25 + 8.41}
]
[
c = sqrt{98.66}
]
[
c approx 9.9 text{ meters}
]
So, the hummingbird will need to fly approximately 9.9 meters to get from its nest to the flower.