Inverse trigonometric functions

Question

I can't seem to get the right answer for this question, is there anyway I can some help?

The function

H(θ) = 246 sin(θ − 90°) + 296

models a person's height in feet on the Singapore Flyer Ferris wheel after boarding at the bottom and traveling θ degrees around the wheel. Solve

246 sin(θ − 90°) + 296 = 110

over the interval [0°, 720°].

†(a) Using inverse trigonometric functions, find all solutions to the given equation over the interval provided. (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

θ = ________°

(b) Explain what your solution(s) mean in the given context.

A rider boarding the Ferris wheel at the "top or bottom" will be at a height of ______  feet above the ground after traveling θ degrees around the wheel.

Answer 1

sin(θ-90)=-cos θ

-246 cos θ = -186; therefore, θ=arccos(186/246)

Boarding at the bottom, a person will be h feet above the ground after the wheel has turned θ degrees, where

h=r+ r sin(θ-90).and r is the radius of the wheel.