Answer:
12 feet ladder
Step-by-step explanation:
Height of 12 ft ladder :
Using Pythagoras :
Tan θ = Adjacent / hypotenus
Tan 57 = h / 12
1.5398649 * 12 = 18.48 feets
For 16 feet ladder :
Tan θ = Adjacent / hypotenus
Tan 30 = h / 16
0.5773502 * 16 = 9.24 feets
18.48 > 9.24
Hence, he'll climb the 12 feets ladder to the higher height
Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;
Using distributive property on LHS (i.e, )
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,
Simplify:
x =13
Therefore, the original number x is, 13