Question

What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall? 11.5 feet 13.1 feet 14.6 feet 15.4 feet

Answer 1

Answer:

Answer is 14.6 feet

Step-by-step explanation:

In the situation presented in the question, the length between the base wall and the ladder acts as the base of a triangle. The ladder acts as a hypotenuse. And it is asked in the question to find the height of the triangle(wall) with base 3.5 feet and hypotenuse of 15 feet

[According to Pythagoras theorem

Hypotenuse ^(2) = Base ^(2)+ Perpendicular ^(2)]

Height of the wall reached =√(Hypotenuse ^(2) - Base ^(2))

= √((15)^(2) - (3.5)^(2)) feet

= √(225 - 12.25) feet

= √(212.75) feet

~ 14. 58 feet

~ 14.6 feet

Hope it helps...