Answer:
The top of the tree house is 70.71ft high
Step-by-step explanation:
Kindly find attached rough sketch of the problem for your reference.
From the sketch we see that the rope at 45° and the tree house form a right angle triangle
Applying
SOH CAH TOA formula
using SOH
sin θ= h/100
h= sinθ*100
h= sin(45)*100
h= 0.7071*100
h= 70.71ft
