Raymond smullyan, a contemporary mathematician, devised the following puzzle: the politician puzzle one hundred politicians attended a convention. each politician was either crooked or honest. also: 1. at least one of the politicians was honest. 2. given any two politicians, at least one of the two was crooked. (a) how many politicians were honest, and how many were crooked? (b) explain how you reached your conclusion.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.

answer: the answer is d