Please help me with this word problem, I can't seem to figure it out.

Both Derek and Sam are 5ft 10in tall. Derek looks at a 10ft basketball goal with an angle of elevation of 29 degrees, and Sam looks at the goal with an angle of elevation of 43 degrees. If Sam is directly in front of derek, how far apart are the boys standing?

  1. 👍 0
  2. 👎 1
  3. 👁 1,199
  1. Draw a side view of the situation, then the basket is 50 inches above the height of the the eyes of the two boys.
    distance of derek to point below the basketball is x
    of Sam to a point below the basketball is y

    tan29 = 50/x ---> x = 50/tan29
    tan 43 = 50/y --->y = 50/tan43

    distance between the boys = x-y
    = 50/tan29- 50/tan43
    = 36.583 inches
    = or 3.05 ft

    1. 👍 2
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Language Arts

    What should a reader do if he or she is unable to determine the meaning of a word using context clues?(1 point) replace the unfamiliar word with a familiar word find a synonym for the word in a thesaurus*** look up the word in a

  2. statistics

    in a classic study of problem solving, katona demonstrated that people whoa re required to figure out a problem on their own will learn more than people who are given the solution. One group of participants is presented with a

  3. Maths

    On Saturday Derek picked pears from 32 trees. His picked average of 17 pears per tree. Sunday he picked more pears averaging 12 pears per tree. Over the whole weekend he picked an average of 14 pears per tree. How many trees did

  4. Word Scramble HELP

    Please help to unscramble this word (Nereteo). It is related to a Woodstock themed Word Scramble for a retirment party. None of us on the organizing committee can figure this one out!! HELP!

  1. science help pls pls

    Derek designed an experiment to demonstrate interactions between Earth systems. He cleared a patch of land in his backyard and poured a glass of water from a height of 12 inches above the ground. A depression was formed on the

  2. math

    2.-The longest one-word name of any place in America is Chargoggagoggmanchauggagoggchubunagungamaugg.This name for a lake near webster, Massachusetts, is 45 letters long. It is a Native American name that means "You fish on you

  3. english/11th grade

    He responds whenever he is called. In this sentence the Adverb clause is: whenever he is called and the Subordinating conjunction is: whenever what is the word modified? how can i figure out which word it is?

  4. math

    Suppose your teacher tells you to write a word problem using the number 3. Which would be the best object to use in your problem? Explain. Then write and solve a word problem using that object. (tricycle, bike, wagon)

  1. chemistry

    This question I really don't get it. I tried tried tried to figure out how to start solve the problem but still couldn't figure out. So can you help me with one question PLEASE? If so, can you please explain to me how you get the

  2. math

    Problem of the Week Alternate Dimensions The four shapes to the right are each drawn with a horizontal base and a vertical height. Figure A is a right-angled triangle, Figure B is an isosceles triangle, Figure C is a square, and

  3. 6th grade math

    Derek wrote 8,9,12 and 15 on the black board. Which pairs of theses numbers are relatively prime? my answer is 8,and 9. and 8,15. am i right if not please tell me the answers.

  4. Math

    I cannot remember how to figure out this problem. "Ten friends share 3 pizzas equally. What fraction of a whole pizza does each friend get?" Would it be 3/10? Not looking for the actual answer but really how i can figure it out.

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