McNeal stands at the 40 degree angle and is trying to find the width of the river. McNeal knows she is 120 feet from the tree. A) Write a trig equation to find the river's width (nearest foot)

B) Solve your trig equation to find the river's width (nearest foot)​

Our equation is:

Solving this yields that the width of the river is about 77 feet.

Step-by-step explanation:

Part A)

We know that McNeal is 120 feet from the tree. This is the hypotenuse.

And we want to find the width of the river, which is the side opposite from our angle.

Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:

Our angle is 40°.

The opposite side is unknown. We can let this be w to represent width.

The hypotenuse is 120 feet. Hence, our equation is:

Part B)

Solve for w:

Use a calculator:

The width of the river is about 77 feet.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq