A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Okay, so my teacher never went over any of the questions on my homework. Fortunately, I was able to figure out just about everything else but this question. Could someone help me out here? A woman stands at a horizontal distance x from a mountain and measures the angle of elevation of the mountaintop above the horizontal as θ. After walking a distance d closer to the mountain on level ground, she finds the angle to be ϕ. Find a general equation for the height y of the mountain in terms of d, ϕ, and θ, neglecting the height of her eyes above the ground.

  • This Question is Closed
  1. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the situation of your problem is like below: |dw:1440317834837:dw|

  2. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then we can write the subsequent system: \[\Large \left\{ \begin{gathered} H = \left( {d + a} \right)\tan \theta \hfill \\ H = a\tan \phi \hfill \\ \end{gathered} \right.\] which can be solved for a and H, please try to solve that system

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So I'd make both equations equal to each other, which I understand, but why would I need to solve for a?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Never mind, I figured it out! Thank you!

  5. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    from second equation, I get: \[\Large a = \frac{H}{{\tan \phi }}\] substituting into first equation, I can write this: \[\Large H = d\tan \theta + \frac{H}{{\tan \phi }}\tan \theta \] and that last equation can be solved with respect to H

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.