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
Answers
Answered by
0
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...
Similar questions