Posted by jonathan on .
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,
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,
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,
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.