Akite is fllying 115 ft above the ground. the length of the string to the kite is 150 ft, measured from the ground. find the angle, to the nearest degree, that the string makes with the ground

Step-by-step explanation:

The diagram makes a right-angles triangle; therefore we can use trigonometry.

The hypotenuse is the side opposite the right angle - 150

The oppositite is the side  opposite the angle in question - 115

The angle in question - x

We will use the formula:

x = 50.05549481°

This is often rounded to 2 decimal places

x ≈ 50.06°

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.