Question

How to do this and what the answer is with detailed steps

Answer 1

Answer:

16.16 feet wide

Step-by-step explanation:

It breaks down to something very fundamental

Theta = 76 degrees

Base line = adjacent = 15 feet.

Side opposite = ?

Tan(theta) = opposite / adjacent    Substitute into the tangent.

4.011 = opposite / 15                        Multiply both sides by 15

opposite = 4.011 * 15

Opposite = 60.16 feet.

The river is 60.16 feet wide

Answer 2

Answer:

60.161714 meters

Step-by-step explanation:

The triangle is superimposed over the river, the side in question is the side opposite to the angle that was measured.  We are given the adjacent side of the angle.  We can use the tangent function to solve this...

Tan x = (opposite side)/(adjacent side)

Here we have

Tan 76 = x/15        solve for x...

15(tan 76) = x       (multiply by both sides by 15 to get rid of the fraction)

Crunch this with your calculator...

60.161714 = x