Answer:
the leaf is 8 meters away from the tree
Step-by-step explanation:
we can think of this problem as a right triangle where height represents a leg, and what flew the bird represents the hypotenuse
then we would have to find the other leg
for this we can use Pythagoras
h = hypotenuse = 17 meters
l1 = leg1 = 15 meters
l2 = leg2 = ?
h² = l1² + l2²
17² = 15² + l2²
17² - 15² = l2²
289 - 225 = l2²
64 = l2²
√64 = l2
8 = l2
the leaf is 8 meters away from the tree
Answer: the leaf is 8m from the base of the tree.
Step-by-step explanation:
Assuming the bird flew along a straight line from the nest to the the leaf on the ground, then a right angle triangle is formed. The distance flown by the bird represents the hypotenuse of the right angle triangle. The vertical distance of the nest from the ground represents the opposite side of the triangle. The distance of the leaf,h from the base of the tree represents the adjacent side of the triangle.
Therefore, to find the distance, h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
17² = 15² + h²
289 = 225 + h²
h² = 289 - 225 = 64
h = √64
h = 8m
