Question

I'll give brainliest.
A 15-foot ladder rests against a wall. The base of the ladder is 8 feet from the wall. How far is the top of the ladder from the ground? Enter your answer, as a decimal rounded to the nearest tenth, in the box. ft = __

Answer 1

These are the following dimensions:

1. base=5ft
2. hypotenuse=15ft
3. height=?ft

To solve for the height, use the Pythagorean Theorem, which is:

a2+b2=c2

where:
a=height
b=base
c=hypotenuse

Substitute your known values into the equation to find the height:

a2+b2=c2a2+(5)2=(15)2a2+25=225a2=200a=√200a=10√2⇒simplify the radicala≈14.14ft

∴, the ladder goes approximately 14.14ft up the building.