Respuesta :
Answer:
33.8
Step-by-step explanation:
a²+b²=c²
15²+b²=37²
225+b²=1369
-225 -225
b²=1144
√1144
b=33.8
The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.
What is Pythagoras' Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
If you place a 37-foot ladder against the top of a 15-foot building.
Let BC be the distance from the bottom of the ladder to the bottom of the building.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
