Answer:
30.9 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this scenario, the side adjacent to the 75° angle is the 8 ft distance from the building. The hypotenuse of the triangle is the ladder. So, we have ...
cos(75°) = (8 ft)/(ladder length)
ladder length = (8 ft)/cos(75°) ≈ 30.9 ft
The ladder is about 30.9 feet long.
