Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
babydoll332
Group Title
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 16° 23'. When the boat stops, the angle of depression is 49° 29'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest hundredth.
 one year ago
 one year ago
babydoll332 Group Title
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 16° 23'. When the boat stops, the angle of depression is 49° 29'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest hundredth.
 one year ago
 one year ago

This Question is Closed

Fall1213 Group TitleBest ResponseYou've already chosen the best response.1
This is not difficult. Use the tangent function of each angle. tan Θ = height of lighthouse / distance of boat from lighthouse. tan (15.85°) = 200 / x x = 200 / tan 15.85° x ≈ 704.438 ft tan (52.2°) = 200 / x' x' = 200 / tan (52.2°) x' ≈ 155.136 ft.. The distance the boat traveled is equal to x  x': x  x' = 704.438 ft  155.136 ft = 549.302 ft. We can then round the answer to 549.30 ft.dw:1355174045554:dw
 one year ago

babydoll332 Group TitleBest ResponseYou've already chosen the best response.0
got it thanksssss :)
 one year ago

radar Group TitleBest ResponseYou've already chosen the best response.0
dw:1355174611032:dw
 one year ago
See more questions >>>
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
 Engagement 19 Mad Hatter
 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.