Answer:
is 14.14
Step-by-step explanation:
These are the following dimensions:
1
.
base
=
5
f
t
2
.
hypotenuse
=
15
f
t
3
.
height
=
?
f
t
To solve for the height, use the Pythagorean Theorem, which is:
a
2
+
b
2
=
c
2
where:
a
=
height
b
=
base
c
=
hypotenuse
Substitute your known values into the equation to find the height:
a
2
+
b
2
=
c
2
a
2
+
(
5
)
2
=
(
15
)
2
a
2
+
25
=
225
a
2
=
200
a
=
√
200
a
=
10
√
2
⇒
simplify the radical
a
≈
14.14
f
t
∴
, the ladder goes approximately
14.14
f
t
up the building.
