A boat is pulled in by means of a winch located on a dock 10 feet above the deck of the boat. Let the angle of elevation ø = 18 degrees. Find the length s of the rope.

9514 1404 393

  32.4 feet

Step-by-step explanation:

The applicable relationship between angle and triangle lengths is ...

  Sin = Opposite/Hypotenuse

The dock height is the side of the triangle opposite the given angle. The desired length is the hypotenuse of the triangle, so we have ...

  sin(18°) = (10 ft)/s

  s = (10 ft)/sin(18°) = (10/0.30902) ft

  s ≈ 32.4 ft

The length of the rope is about 32.4 feet.

the answer is 48m^2!

step-by-step explanation:

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %