Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
Answer:
Convert
3
1
4
to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3
+
1
4
−
1
3
4
Add
3
and
1
4
To write
3
as a fraction with a common denominator, multiply by
4
4
.
3
⋅
4
4
+
1
4
−
1
3
4
Combine
3
and
4
4
.
3
⋅
4
4
+
1
4
−
1
3
4
Combine the numerators over the common denominator.
3
⋅
4
+
1
4
−
1
3
4
Simplify the numerator.
Multiply
3
by
4
.
12
+
1
4
−
1
3
4
Add
12
and
1
.
13
4
−
1
3
4
Convert
1
3
4
to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
13
4
−
(
1
+
3
4
)
Add
1
and
3
4
.
13
4
−
7
4
Combine the numerators over the common denominator.
13
−
7
4
Subtract
7
from
13
.
6
4
Cancel the common factor of
6
and
4
.
Factor
2
out of
6
.
2
(
3
)
4
Cancel the common factors.
Factor
2
out of
4
.
2
⋅
3
2
⋅
2
Cancel the common factor.
2
⋅
3
2
⋅
2
Rewrite the expression.
3
2
The result can be shown in multiple forms.
Exact Form:
3
2
Decimal Form:
1.5
Mixed Number Form:
1
1
2
Step-by-step explanation:
Answer:
33º and 147º
Step-by-step explanation:
x + (x + 114) = 180
2x + 114 = 180
2x = 66
x = 33º
x + 114 = 147º
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
To find the length of BC we use tan
tan ∅ = opposite / adjacent
From the question
AC is the opposite
BC is the adjacent
So we have
tan 61 = AC / BC
tan 61 = 47/BC
BC = 47/tan 61
<h3>BC = 26.05</h3>
Hope this helps you
