zacharymcewen
contestada

An angler hooks a trout and reels in his line at 4 in. divided by s4 in./s. Assume the tip of the fishing rod is 13 ft13 ft above the water and directly above the​ angler, and the fish is pulled horizontally directly toward the angler​ (see figure). Find the horizontal speed of the fish when it is 22 ft22 ft from the angler.

Respuesta :

The velocity of the reel is 4/4 = 1 in/s.

Draw a right triangle to illustrate the problem.
The hypotenuse represents the reel with a velocity of 1 in/s.
The vertical height of 13 ft represents the angler.
The horizontal length of 22 ft represents the distance of the trout from the angler.
Let x =  angle between the hypotenuse and the horizontal.

By definition,
tan(x) = 13/22 = 0.5909
x = arctan(0.5909) = 30.58 deg.

The horizontal velocity is
v = (1 in/s)*cos(30.58 deg) = 0.86 in/s

Answer: 0.86 in/s


Otras preguntas