Standing on one bank of a river, an explorer measures the angle to the top of a tree on the opposite bank to be 27 degrees. he backs up 50 feet and measures the angle to the top of the tree to now be 22 degrees. how wide is the river? round to the nearest tenth of a foot.

191.5 feet

Step-by-step explanation:

You can observe two right triangles in the figure attached: ABC and DBC.

Where the width of the river is "x".

Remember the trigonometric identity:

Then, for the triangle ABC:

Solve for CB:

    [Equation 1]

For the triangle DBC:

Solve for CB:

             [Equation 2]

Making [Equation 1]=[Equation 2] and solving for "x", you get:

if you was gonna solve for a, a is a   < -12