Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Caolco

  • 2 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 18°33'. When the boat stops, the angle of depression is 51°33'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. Is the answer -706.44 ft?

  • This Question is Closed
  1. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't know the answer yet, but this diagram should help. Also, when you calculate a distance traveled, it will always be expressed as a positive number. |dw:1350260299986:dw|

  2. Caolco
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I still don't get it.

  3. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I messed up the labeling above... it is 51 deg 33 min and 18 deg 33 min (I put "sec" in for both)

  4. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Well what dont u get? what exactly is bothering you about this diagram?

  5. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you could solve for the total distance from the boat's initial position to the lighthouse base using tangent(18 +33/60) = 200 ft / (entire base distance)

  6. Caolco
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do I divide 200 by tan(18+33/60)-tan(51+33/60)?

  7. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and you could do the same for the other angle to get the distance from the point where the boat stopped back to the lighthouse. Then subtract to get the distance travelled

  8. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm not sure... why would you divide it by the difference in those two tangents?

  9. Caolco
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i don't know. can you please just give me the answer?

  10. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \( \large {200 \over \tan(18+{33 \over 60}) }-{200 \over\tan(51+{33 \over 60})} \)

  11. Caolco
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so the answer is -706.44 ft

  12. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    noooo did you solve this?

  13. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    How can distance be negative?

  14. Caolco
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes and that is what i keep getting. that is the exact way i did it the first time and that is the same answer im getting now.

  15. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Are you on radians or degrees?

  16. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You must be on radians switch the mode to degrees

  17. Caolco
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh pellet. i changed it to degrees before doing this but must not have hit enter. damnit. is the answer 437.21?

  18. swissgirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yesss :)

  19. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @Caolco sorry, it took me awhile to even see how to solve this, then, since I apparently needed the practice, I was trying to solve it while @swissgirl was helping you.

  20. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.