Please help me!

Question

A support wire for a tower is connected from an anchor point on level ground to the top of the tower. The straight wire makes a 65 degree angle with the ground at the anchor point. At a point 25 meters farther from the tower than the wire's anchor point and on the same side of the tower, the angle of elevation to the top of the tower is 35 degrees. Find the wire length to the nearest tenth of a meter.

Answer 1

Draw a figure.

In the obtuse triangle, the obtuse angle is 115° which makes the vertex angle (of the obtuse triangle) 30°.

Now use the law of sines to get the length of the wire.

sin 30/25 = sin 35/w, where w is the length of the wire.