SOLUTION: A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees. If the pole has leaned 16 degrees from the vertical directly toward the sun, what is the length
Algebra.Com
Question 1082131: A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees. If the pole has leaned 16 degrees from the vertical directly toward the sun, what is the length of the pole?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees.
If the pole has leaned 16 degrees from the vertical directly toward the sun, what is the length of the pole?
:
Draw this out, it is not a right triangle, we know angle A = 61, angle B: 16 + 90 = 106 degrees, angle C: 180 - 61 - 106 = 13 degrees
use the law of sines, a = the length of the pole opposite 61 degrees,
=
Find the sines and cross multiply
.22495a = .8746 * 15
a =
a = 58.32 m
RELATED QUESTIONS
A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees.
If (answered by rothauserc)
When the angle of elevation of the sun is 52 degrees, a telephone pole that is tilted 10... (answered by ankor@dixie-net.com)
as the sun sets in the west, a pole casts a shadow 7.8m long. the angle of elevation of... (answered by richwmiller)
A pole leans away from the sun at an angle of 9° to the vertical. When the elevation of... (answered by jim_thompson5910)
Having trouble with the following word problem. I would greatly appreciate any help with (answered by ankor@dixie-net.com)
a pole 70 ft. high casts a shadow of 27 ft. long. find the angle of elevation of the... (answered by ankor@dixie-net.com)
When the angle of elevation of the sun is 60° , a vertical pole casts a shadow of length (answered by ikleyn)
Determine the angle of elevation of the sun when the length of the shadow of a pole is... (answered by ankor@dixie-net.com)
determine the angle of elevation of sun when the length of the shadow of a pole is... (answered by KMST)