Frank stands 400 feet from the base from the statue of liberty. if the statue of liberty is 306 feet tall, what is the angle of elevation from frank to the top of the statue’s torch? round the answer to the nearest tenth.

The answer is 36.9

Step-by-step explanation:

We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.

tan(θ) = 300.5/400.

θ = tan^-1(300.5/400).

θ = 36.9

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.