Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :

Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
Answer:
Step-by-step explanation:
b.) cos((π/2)-Ф)=-3/5 is true because :
cos((π/2)-Ф)= sin(Ф)
HP = JP (since the opposite sides of an isosceles triangle are equal)
3x - 6 = x + 2
2x = 8
x = 4
Thus, HP = 3(4) - 6 = 12 - 6 = 6
JP = 4 + 2 = 6
JH = 2(4) = 8.