SOLUTION: from a hang glider approaching a 5000 ft. clearing the angles of depression of the opposite ends of the field measure 24� & 30�. How far is the hang glider from the nearer end of

Question 1078335: from a hang glider approaching a 5000 ft. clearing the angles of depression of the opposite ends of the field measure 24� & 30�. How far is the hang glider from the nearer end of the field?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
from a hang glider approaching a 5000 ft. clearing
the angles of depression of the opposite ends of the field measure 24� & 30�.
How far is the hang glider from the nearer end of the field?
:
Draw this out, the interior angle opposite 5000 ft is 30-24 = 6 degrees
the alternate angle of parallel lines is 24 degrees opposite the side (a) of the glider to nearest point of the clearing
:
We can us the law of sines
=
Cross multiply, find the sines
.1045a = 5000 * .4067
a =
a = 19,456 ft from the nearest end

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