Asked by Kayla
A pine tree stands beside a road that has a 7 degree gradient. When the angle of elevation to the sun is 59 degrees, the tree casts a shadow of 31 ft down slope along the road. What is the height of the tree?
Answers
Answered by
Steve
Draw a diagram.
If the tip of the shadow is x feet horizontally away from the tree of height x, we have
x/31 = cos 7°
(h + 31*sin7°)/x = tan 59°
I get h = 47.4 ft
If the tip of the shadow is x feet horizontally away from the tree of height x, we have
x/31 = cos 7°
(h + 31*sin7°)/x = tan 59°
I get h = 47.4 ft
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.