A nest is 15 meters high in a tree. From it’s nest, a bird flies 17 meters to the ground to reach a leaf. How far is the leaf from the base of the tree?

8 metres

Step-by-step explanation:

The nest, leaf and base of the tree are all points that form a right angle triangle.

The longest side is the distance from the nest to the leaf 17 m.

Using Pythagoras Theorem

17² = 15² + (distance from base to leaf)²

289 = 225 + (dist. 4rm base 2 leaf)²

289 - 225 = 64

64 = ( distbase to leaf)²

Square root both sides

Dist from base to leaf = 8 meters

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

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step-by-step