Asupport 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: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

the answer would be 0.54