Question

tree broke off 12 feet above the ground. The tip of the broken tree is 16 feet from the base. If the broken tree formed a right triangle with the ground, what was the actual length of the tre​

Answer 1

Answer:

THE ORIGINAL HEIGHT OF TREE IS 32 feet

Step-by-step explanation:

PARAMETERS GIVEN,

PERPENDICULAR HEIGHT = 12 feet

BASE LENGTH = 16 feet

SO,

LET THE HEIGHT OF THE BROKEN PART BE x

SO,

A.T.Q.,

BY PYTHAGORAS THEOREM,

(P)²+(B)²=(H)²

(12)²+(16)²=(x)²

144+256 = x²

x² = 400

x = √400

x = 20

SO,

THE ORIGINAL HEIGHT OF THE TREE IS:-

PERPENDICULAR HEIGHT+HEIGHT OF BROKEN PART

12 feet+20feet

32 feet

SO,

ORIGINAL HEIGHT OF TREE IS 32 feet

I HOPE YOU UNDERSTOOD THE QUESTION!!!