Precalculus

posted by .

A swimming pool is 3 feet deep in the shallow end. The bottom of the pool has a steady downward drop of 12 degrees toward the deep end. If the pool is 50 feet long, how deep is the deep end.

So I said that first you would subtract three from 50, of course giving you 47, then, I said
tan12 = x/47
tan12 * 47 = x
x = about 10 feet
is this right

  • Precalculus -

    the length is 50 feet, it has nothing to do with the fact that the depth is 3 feet at the shallow end.
    make a sketch, showing a side view of the pool and you will see the problem more clearly. Draw a line horizontally to show a rectangle 50 by 3 at the top and a right-angled triangle with a length of 50 and a width of x feet
    then tan12 = x/50
    x = 50tan12 = 10.63 feet

    x is the "additional" depth below the shallow end
    so the deep end is 10.63 + 3 or
    13.63 feet deep.

  • Precalculus -

    The bottom of a swimming pool isn't a regular profile. The deep end is about 6 foot 6

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Measured along the surface of the water, a rectangular swimming pool has a length of 15.9 m. Along this length, the flat bottom of the pool slopes downward at an angle of 16.9 ° below the horizontal, from one end to the other. By …
  2. Calculus

    A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow end; the bottom is rectangular. If the pool is filled by pumping water into it at the rate of 40 cubic feet per minute, how …
  3. Math

    A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow end; the bottom is rectangular. If the pool is filled by pumping water into it at the rate of 40 cubic feet per minute, how …
  4. geometry

    A swimming pool is 3 ft deep in the shallow end the bottom of the pool has a steady downward drop of 12 degrees if the pool is 50 feet long how deep is the deepest end?
  5. Calculus

    A swimming pool is 60ft long by 25ft wide. Its depth varies uniformly from 3ft at the shallow end to 15ft at the deep end. The pool is being filled with water at a rate of 800ft3/min. There is 5ft of water at the deep end. What is …
  6. Trigonometry

    1. Brothers Bob and Tom buy a tent that has a center pole of 6.25 feet high. If the sides of the tent are supposed to make a 50deg angle with the ground, how wide is the tent?
  7. CALCULUS

    Hi guys can you help me! Please teach me step by step.. I really need it. pls! Thank you......... A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being …
  8. DIFF CALCULUS

    A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at ¼ cubic meter per minute, and there is 1 meter of water at the deep end. …
  9. Calculus

    A rectangular swimming pool is 8 m wide and 20 m long. Its bottom is a sloping plane, the depth increasing from 1 m at the shallow end to 3 m at the deep end. Water is draining out of the pool at a rate of 1 m3/min. How fast is the …
  10. Maths

    A swimming pool whos surface forms a rectangle measures 25 m long by 15 m wide The pool is 2 m deep at the shallow end and the depth increases at a constant rate to 4 m deep at the other end How many?

More Similar Questions