physics - last question

Sam is sitting in her fishing boat watching a trout swim below the surface. She guesses the apparent depth of the trout at 2.0m. She estimates that her eyes are about 1.0 m above the water's surface, and that the angle at which she's observing the trout is 45 degrees.

b) Calculate the actual depth of the trout

I have calcualted the angle of incidence to be 32 degrees, but still have no idea how to figure out the depth. I have been trying for 2 hours since last night. I don't know what trig to use on this. Can you help please?

physics - bobpursley, Saturday, January 16, 2010 at 10:30am

So Real depth= apparent depth/ tan i

check my thinking.

physics - drwls, Saturday, January 16, 2010 at 10:30am
The formula that you need is derived and presented here:

The object will appear at a shallower depth equal to the real depth divided by the refractive index of water.

physics - Sarah N H, Saturday, January 16, 2010 at 11:15am
Bob: your website, when I rearrange the formula, would be real depth = X/tani...What is the 'x" in my problem?

DRWLS: I am solving for the actual depth, the apparent depth is I still use your same formula?

Thankyou both

physics - another question - Damon, Saturday, January 16, 2010 at 11:35am
Draw the figure three of us have suggested carefully labeling all the angles as is done in the links that Bob Pursley and Dr WLS have given you. r = 45. i =32 if that is what you got. Then you can work on the triangles and figure it out.

physics - another question - Sarah N H, Saturday, January 16, 2010 at 11:53am
I have drawn them all, but just want to make sure that I should be dividing 2 metres into tan1 (which is 32, to give me a real depth of 3 metres. Can you please verify that?

  1. 👍
  2. 👎
  3. 👁
  1. you should be dividing 2 by tan 32 giving 3.2 meters. The number of digits depends on how the original 2 meters was written.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    To determine the number of trout in a lake, conservationist catches 161 trout, tags them and throuws them back into the lake. Later, 39 trout are caught: 13 of them are tagged. How many trout would the conservationist expect to be

  2. Math

    A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years. Find a linear model for the depreciated value V of the boat t years after it was purchased.

  3. calculus

    3000 young trout are introduced into a large fishpond. The number of trout still alive after t years is modeled by the formula N(t) = 3000(.9)^t. What is the rate of population decrease when the number of trout in the pond reaches

  4. physics

    If a boat and its riders have a mass of 800 kg and the boat drifts in at 1.5 m/s how much work does Sam do to stop it?

  1. Stats

    The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond. A sample of the weights of 40 trout revealed that the mean weight is 402.7 grams and the standatd deviation 8alE8 gr. What is the

  2. LA

    Which sentence would be a strong supporting evidence for the following claim? Owning pets is part of a healthy lifestyle. (1 point) A: Watching fish swim in a tank is better than watching television. B:More than 70 percent of gym

  3. Math Binomial theorem

    I'm preparing for a test and one of the questions in my text is as follows: In a trivia contest,Sam has drawn a topic he knows nothing about, so he makes random guesses for the 10 T/F questions. Use the binomial theorem to help

  4. taxation

    On February 12, 2002, Nancy Trout and Delores Lake formed Kingfisher Corporation to sell fishing tackle. Pertinent information regarding Kingfisher is summarized as follows:

  1. prob. & stat.

    A pond is freshly stocked with 15 brown trout and 9 lake trout. The first fisherman in the area catches and releases a trout. He catches another trout a while later. What is the probability that the fisherman caught brown trout

  2. physics

    a duck is swimming across a river.The duck can swim at maximum speed of 2m\s in still water. If the duck is swimming as hard as possible straight across a river that is running at 4m\s, what is the duck's overall speed, relative

  3. English

    Can you swim? 1. Yes, I can swim very well. 2. Yes, I can swim a little. 3. Yes, I can swim a bit. 4. Yes, I can swim just a little bit. 5. Yes, I can swim just a little. 6. No, I cannot swim well. 7. No, I can't swim. 8. No, I

  4. Math

    A fish and game worker catches, tags, and releases 120 trout in a lake. Later, she catches 84 trout and finds tags on 30 of them. Estimate the number of trout in the lake. A.43 B.234 C.336 D.3600 Is it C?

You can view more similar questions or ask a new question.