Answer:
32.98 ft
Step-by-step explanation:
What you have right there is a triangle.
The base of the triangle is given (14 ft)
The angle from the ladder makes while leaning on the house is 67 degrees.
This is a simple trigonometry problem
You want to find the length of the ladder and you don't have the hypotenuse
So you can use the function tan to find it.
tan(Ф) = opposite/adjacent
You are looking for the opposite side length
So you do tan(Ф) * adjacent = opposite
tan(67) * 14 = 32.98 ft
