Thank you for the opportunity to help you with your question!
For every 5 foot ladder length the span on the ground is 2 ft
So we need to calculate span on the ground for 15 ft
5:2 = 15:x
5/2 = 15/x
or x/2 = 15/5
x= (15/5) *2 = 6 ft
The span on the ground is 6 ft
To calculate the height we should use pythogorean theorem
c^2 = a^2 + b^2 where c is hypotenuse
In our question the hypotenuse is the length of ladder
if h is the height reached.
15^2 = 6^2+h^2
225 = 36 + h^2
h^2 = 225-36 = 189
h = 13.74777 = 13.75
The height the ladder can reach is 13.75ft.
Please let me know if you need any clarification. I'm always happy to answer your questions.
15 Million Students Helped!
Sign up to view the full answer