The ladders shown below are standing against the wall at the same angle. How high up the wall does the

Question

longer ladder go? (All measurements are in feet.)
ladder measurements: first ladder: 30 ft, ? ft, ? ft
second ladder: 24 ft, 10 ft, ? ft

A. 26 ft B. 14 ft C. 12.5 ft D. 11.25 ft

Answer 1

0

A squared + B squared = C squared

75 degree angle (4:1)

A = 24 B = 24/4 = 6

576 + 36 = 612

Square root of 612 = 24.74

24.74 + 3 = 27.74

Answer: 26 to 28 foot ladder will be fine for this job.
IT is B

Answer 2

x/10 = 30/24
x = 12.5