SOLUTION: From the top of a lighthouse 60m high, a boat with an angle of depression of 37° If the boat travels linearly 35m towards the tower. What is the new angle of
elevation?
Algebra.Com
Question 1190333: From the top of a lighthouse 60m high, a boat with an angle of depression of 37° If the boat travels linearly 35m towards the tower. What is the new angle of
elevation?
Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
From the top of a lighthouse 60m high, a boat with an angle of depression of 37° If the boat travels linearly 35m towards the tower. What is the new angle of
elevation?
-------------------
tan(37) = 60/d where d is the distance from the base of the lighthouse to the boat.
d = 60/tan(37) = ~ 79.62 meters
-----
After moving 35 meters,
tan(A) = 60/(79.62-35)
A = ~ 53.36 degs, the angle of depression from the lighthouse, not angle of elevation.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the new angle of elevtion is 53.36139457 degrees.
see my worksheet below:
let me know if you have any question.
theo
RELATED QUESTIONS
The angle of depression from the top of a flagpole on top of a lighthouse to a boat on... (answered by ankor@dixie-net.com)
from the top of a 25m lighthouse, an operator sees a capsized boat and determines an... (answered by josgarithmetic,MathTherapy)
From the top of a lighthouse 50 meters high, the angle of depression of a boat out at sea (answered by scott8148)
From a boat on the lake, the angle of elevation to the top of a cliff is 24°52'. If the... (answered by mananth)
A person is watching a boat from the top of a lighthouse. The boat is approaching the... (answered by ankor@dixie-net.com)
A person is watching a boat from the top of a lighthouse. The boat is approaching the... (answered by josgarithmetic)
A person is watching a boat from the top of a lighthouse. The boat is approaching the... (answered by Boreal)
A person is watching a boat from the top of a lighthouse. The boat is approaching the... (answered by Boreal)
A person is watching a boat from the top of a lighthouse. The boat is approaching the... (answered by Alan3354)