Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mariahj21

  • 2 years ago

To find the height of a tall tree, a surveyor moves 140 feet away from the base of the tree and then, with a transit 4 feet tall, measures the angle of elevation to the top of the tree to be 53°. What is the height of the tree?

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

    In order to solve this question, you need to use trigonometry and the rules of similar triangles. To find 'y', we use trigonometry. \[\tan 37 = y \div 4\] y = 4 tan37 y = 3.014 Now you need to find 'x' and that will help you find the height of the tree Using similar triangles, we get the following relation: \[(140+y)/(x+4) = 140/x\] we know y to be 3.014 so this becomes \[(143.014)/(x+4) = 140/x\] Now you cross multiply and solve for 'x' 140(x+4) = 143.014(x) 3.014x = 560 x = 185.8 feet Height of tree according to figure = x+4 height of tree is approximately 190 feet

  2. 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.