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.

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explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: