Asked by Shelby
a tree grew at a 3 degree slant from the vertical. at a point 60 feet from the tree, the angle of elevation to the top of the tree is 14 degrees. find the height of the tree to the nearest tenth of a foot.
Answers
Answered by
Reiny
Depends if the tree is leaning 3° towards the observer or away from the observer.
I will assume "towards"
So the diagram will show a triangle with two base angles of 87° and 14° with the contained side of 60 ft
leaving the vertical angle at the top 79°
by sine law:
x/sin14 = 60/sin79
x = 60sin14/sin79 = appr 14.8
If you had the other option, repeat with the base angle of 93° instead of 87
I will assume "towards"
So the diagram will show a triangle with two base angles of 87° and 14° with the contained side of 60 ft
leaving the vertical angle at the top 79°
by sine law:
x/sin14 = 60/sin79
x = 60sin14/sin79 = appr 14.8
If you had the other option, repeat with the base angle of 93° instead of 87
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.