Answer:
the height of the tree to the top of the ladder is 24ft
Step-by-step explanation:
To solve this we need to know the Pythagorean theorem that is used for triangles with a right angle
h = hypotenuse
c1 = leg one
c2 = leg two
h ^2 = l1^2 + l2^2
the 25ft of the stairs represent the hypotenuse and the 7ft one of the 2 legs
then we just have to clear the missing leg and solve
h ^2 = l1^2 + l2^2
c2^2 = h ^2 - c1^2
c2 = √(h ^2 - c1^2)
c2 = √(25^2 - 7^2)
c2 = √ (625 - 49)
c2 = √576
c2 = 24ft
then the height of the tree to the top of the ladder is 24ft
