Posted by **jonathan** on Sunday, February 24, 2008 at 9:42pm.

A park ranger at point A sights a redwood tree at point B at an angle 23 degrees from a fire tower at point C, From the fire tower, the Angle between the ranger and the tree is 123 degrees. If the ranger at point A is 2.3 miles from the fire tower at point C, how far is it from the ranger to the redwood tree at point B?

- Trig word problem -
**drwls**, Monday, February 25, 2008 at 1:49am
Draw a triangle and use the law of sines. The angle at B (between ranger and fire tower) is B = 180 - 23 - 123 = 34 degrees. You want the distance from A to B and that is related to angle C as follows:

AB distance/sin C = AC distance/sin B

AB distance = (sin C/sin B)*2.3 miles

= (sin 123/sin34)2.3 = 3.45 miles

- Trig word problem -
**briana**, Tuesday, October 21, 2008 at 11:35am
a flagpole casts a shadow of 12m.the sun has an angle of elevation of 36. how tall is the flagpole?

- Trig word problem -
**Laxmi**, Monday, March 19, 2012 at 7:33pm
since you know the height of the shadow and an angle, you can use a trig function to find the height of the flagpole, assuming that the triangle formed is a right triangle, unless you know the Law of Sines and the Law of Cosines.

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