#1**+2 **

Here I made a triangle where A is the first sighting, B is the light, and C is the second sighting.

The question is, what is the length of BC ?

On this first one, I just focused on the angles.

m∠BAC = 107º - 60º = 47º

measure of the green angle = 180º - 107º = 73º

Since the two vertical lines are parallel and line AC crosses them, we have two parallel lines cut by a transversal. So.. the two green angles are the same.

Now let's just look at the second triangle.

We can use law of sines to find BC.

\(\frac{1.5}{\sin 26}=\frac{BC}{\sin 47} \\~\\ \frac{1.5}{\sin 26}*\sin 47 =BC \\~\\ 2.503\text{ km} \approx BC\)

hectictar
May 23, 2017

#1**+2 **

Best Answer

Here I made a triangle where A is the first sighting, B is the light, and C is the second sighting.

The question is, what is the length of BC ?

On this first one, I just focused on the angles.

m∠BAC = 107º - 60º = 47º

measure of the green angle = 180º - 107º = 73º

Since the two vertical lines are parallel and line AC crosses them, we have two parallel lines cut by a transversal. So.. the two green angles are the same.

Now let's just look at the second triangle.

We can use law of sines to find BC.

\(\frac{1.5}{\sin 26}=\frac{BC}{\sin 47} \\~\\ \frac{1.5}{\sin 26}*\sin 47 =BC \\~\\ 2.503\text{ km} \approx BC\)

hectictar
May 23, 2017