Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

grayp

  • one year ago

Measuring the height of a mountain can be very difficult as you cannot measure your horizontal distance to the point right below the top of the mountain. So you take two measurements, make a system of equations and solve the system. Here's your scenario. You are looking at a mountain and sight the top with an angle of elevation of 55 degrees. Then you walk 500 feet towards the mountain and take another measurement. This time, the angle of elevation is 65 degrees. Find the height of the mountain assuming that you are 5 feet tall.

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

    |dw:1359694208693:dw| so... You can solve the length of side 'c' using sine law: \[\frac{c }{ \sin 115 } = \frac{500}{\sin 10}\] \[c \approx 2609.6 ft\] You could try using pythagorean's theorem to solve for the mountain height, but there is still an unknown distance to the base of the mountain. Instead, just use plain old sine trig equation: \[\sin \Theta = \frac{opposite}{hypoteneus}\] \[2609.6 \sin 55 = height of mountain\] but since we took our measurements off the ground, don't forget to add 5 ft to the height. : )

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

    so 2609.6 plus five?

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

    2609.6*sin 55 = 2137.7ft then add 5, lol

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

    my mistake, thank you very much.

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

    no problem, : )

  6. 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.