Use the system of equations to answer the questions.
1 answer:
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Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find g(f(3)).
So, let's find f(3) first:
Multiply:
Subtract:
Therefore, we can substitute -1 for f(3):
Now, find g(-1):
Multiply:
Add:
And we're done!
So:
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
