Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

Two cabins in a valley are viewed from the top of a cliff. Assume that the cabins and the base of the cliff are on a line and the observer is 2000ft above

the valley floor. The angles of depression to the cabins are 31 degrees and 48 degrees respectively. How far are the cabins from each other?


 i hope the cabins is align from the y axis because if the cabins is align in x axis this is a difficult problem so we solve this and assume that the cabins is align in y axis

 let x the distance from the base to the first cabin
y is the distance from the base to the second cabin
answer = x - y
and  d is the distance from the observer to the cabin and it the same from the two cabins because the observer do not move.
d = 2000ft
use tangent to solve this problem

so for the first cabin let use 48 angle
tan 48 = x /2000
x = 2221.23

for second cabin
tan 31 = y/ 2000
y =1201. 72

so the distance between the cabins is
2221.23 - 1201.72 = 1019. 51 ft

I hope this is correct!


0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts