Present the following practical or theoretical problems or applications:- (1) angle of elevation and angle of depression. (2) right triangle double triangle problem. (3) sinusoidal function using period or frequency and amplitude (4) Solution of a trigonometric identity. Show me first the equation. (5) Solution of a trigonometric equation. Show me first the equation.

Applications

(1)a. Angle of Elevation

The slope of the ascent of an aircraft is 7/50. Find the measure of angle x, the angle of elevation, to the nearest degree.

(1)b. Angle of Depression

From the top of an apartment building, the angle of depression to a car parked on the street is 38 degrees. The car is parked 80 feet from the base of the building. Find the height of the building, to the nearest tenth of a foot.

(2) right triangle double triangle problem

The plans for a cellphone tower that is to be built near a busy highway has the angle of elevation of 32 degrees from building A and the angle of elevation of 65 degrees from building B. Building A is 100 ft away from Building B. How high is the tower to the nearest foot?

(3) sinusoidal function using period or frequency and amplitude

Ruby has a pulse rate of 73 beats per minute and a blood pressure of 121 over 85. If Ruby's blood pressure can be modeled by sinusoidal function, find an equation of this sinusoid.

(4) Solution of a trigonometric identity. Show me first the equation.

The expression (sin²x+cos²x)/(sinx) is equivalent to

A. cscx

B. secx

C. sinxcotx

D. sinxcosxcotx

(5) Solution of a trigonometric equation. Show me first the equation.

If cos(x+30^o)=sinx, a measure of angle x is

A. 15^o

B. 30^o

C. 45^o

D. 60^o

^{please see the attached file for the complete solution.}