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
