Solve the problem.A scenic overlook is 280 ft above sea level. A 6-ft-tall hiker standing at the overlook sees a sailboat and estimates the angle of depression to be 30°. Approximately how far off the coast is the sailboat? Round to the nearest foot.

Use the given information to find the exact function value.Given cos θ = – and θ is in quadrant III, find tan 2θ.

a) Identify the amplitude, period, phase shift and vertical shift. b) Graph the function and identify the key points on one full period. 

Find the exact value.sin

Rank the following atomic models for hydrogen from the earliest (simple) to the latest (most complex) as our understanding of the atom and its structure developed.

Use fundamental trigonometric identities to find the values of the functions.Given sec θ = for θ in Quadrant IV, find csc θ and cos θ.

Atomic and molecular spectra are:

Write an equation of the form y = A sin(Bx – C) + D with A > 0 to model the graph.

Find an equation for the ellipse described. Graph the equation.  Write all work on the submission paper. Center at (2, 6); focus at (5, 6); vertex at (7, 6)

Solve the triangle.  Round the lengths of sides and measures of the angles (in degrees) to 1 decimal place if necessary.