Asked by Anthony
A tree on a hillside casts a shadow c = 210 ft down the hill. If the angle of inclination of the hillside is b = 21° to the horizontal and the angle of elevation of the sun is a = 51°, find the height of the tree. (Round your answer to the nearest foot.)
________ft
________ft
Answers
Answered by
Steve
Draw a diagram.
T = top of tree
S = tip of shadow
B = base of tree
Draw a line L horizontally from the tip of the shadow.
Drop a vertical from the tree base to intersect line L at P.
Let
x = SP
y = PB
h = BT (height of tree)
y = 210 sin21°
x^2+y^2 = 210^2
(y+h)/x = tan51°
I get h=166.847
T = top of tree
S = tip of shadow
B = base of tree
Draw a line L horizontally from the tip of the shadow.
Drop a vertical from the tree base to intersect line L at P.
Let
x = SP
y = PB
h = BT (height of tree)
y = 210 sin21°
x^2+y^2 = 210^2
(y+h)/x = tan51°
I get h=166.847
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.