105. Police Patrol A police car with its spotlight on is parked 20 meters from a warehouse. Consider 0 and x as shown in the figure. 20 m Not drawn to scale (a) Write 0 as a function of x. (b) Find 0 when x = 5 meters and x = 12 meters.

Q: A Ferris wheel is 28 meters in diameter and completes 1 full revolution in 8 minutes. revolves…

A: Given data: The diameter of wheel is d=28 m. The height above ground is x=1 m. Time taken by…

Q: A function is of the form y= sin(kx), where x is in units of radians. If the value of k is 3.70,…

A: A periodic function is one that repeats itself throughout time at a constant rate. It's written as…

Q: 65. Range of a Projectile If a projectile is fired with velocity vD at an angle 0, then its range,…

A:

Q: Each time your heart beats, your blood pressure increases, then decreases as th heart rests between…

A: p(t)=115+25 sin(160πt) is the pressure in mmHg, at time t measured in minutes.

Q: 680 ft (a) Express the angle 0 as a function of the height h of the balloon. h 0 = sin 680 (b) Find…

A: Given : h = 600 Then, θ = sin-1(600/680) θ = sin-1(0.88234) θ = 61.9°

Q: A 60-ft pole casts a shadow as shown in the figure. 60 ft (a) Express the angle of elevation e of…

A: calculate the elevation

Q: Each time your heart beats, your blood pres- sure first increases and then decreases as the heart…

A: We have given the function;

Q: Range of a Projectile If a projectile is fired with velocity vo at an angle 0, then its range, the…

A:

Q: . Holding Pattern An airplane is asked to stay within a holding pattern near Chicago’s O’Hare…

A: Any function depend only on single variable and varies with linear power of variable then it is…

Q: Trigonometric Functions On a particular lake, the difference between high and low tide is 6 hours.…

A: Given: The difference between high and low tide is 6 hours. From midnight till morning 6 am, its a…

Q: A shoreline observation post is located on a cliff such that the observer is 320 feet above sea…

A:

Q: -10 750m

A: Given data is:

Q: An object is at the origin at time , with velocity  at that time. The acceleration changes over…

A: 1. The path is 1-dimensional unless it is explicitly mentioned.  2. The distance covered 's' is…

Q: A boat approaches a 50-ft-high lighthouse whose base is at sea level. Let d be the distance between…

A: Given, Height of Light house- 50ft Distance between the boat and the base of the light house is 'd'…

Q: A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that…

A: 2. Given that,A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clockposition from a…

Q: The height of the water, H, in feet, at a boat dock t hours after 6 a.m. is given by: a. Find the…

A: Given H=10+4sinπ6t

Q: Bert is on a Ferris wheel. The radius of the Ferris wheel is 6 metres. its axle is 7 metres above…

A: The general form of a sinusoidal function is y=AcosBt-C+D. Here, x and y are variables and A,B, C…

Q: 43. Height of a Balloon A 680-ft rope anchors a hot-air balloon as shown in the figure. (a) Express…

A: We have to find angle theta given in diagram.

Q: A Ferris wheel is 29 meters in diameter and completes 1 full revolution in 16 minutes. revolves…

A: Given : A Ferris wheel is 29 metres in diameter and completes full revolution in 16 minutes.

Q: 6) Calculating the Time of a Trip From a parking lot, you want to walk to a house on the beach. The…

A: Given,  From a parking lot, you want to walk to a house on the beach.  The house is located 1500…

Q: 30 ft (a) Express the angle of elevation 0 of the sun as a function of the length s of the shadow.

A:

Q: Triangle Trig. - Evaluating Trig. Ratios Find the value of the trig function indicated. 1) sec 0 2)…

A:

Q: A 90-ft pole casts a shadow as shown in the figure. 90 ft (a) Express the angle of elevation 0 of…

A: A) Angle of elevation: The triangle formed by pole and shadow is a right-angle triangle. Hence, tan…

Q: Determine whether the function is even, odd, or neither. G (x) = sin x + cos x the function is Blank…

A:

Q: The subtended arc is a function of ___. a. The radius and the central angle. b. The radius and the…

A: The subtended arc is a function of ___

Q: Antonio boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple…

A: Consider the given question, Ferris wheel rotates at a constant angular speed of 7.1 radians per…

Q: Diego boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple…

A: solution:-angular speed of wheel, ω=6.6 radians per minuteω=6.6/60=0.11 radians per secondradius, r…

Q: ch trig function with its ratio. v sine adj a. v tangent ddo v cosine b. ddo hyp hyp C. opp adj d.…

A: We have to match of each  trigonometry function

Q: Consider the function f (x) = 2 ( cos (a 57 + 2 Determine its amplitude, period, and midline. Enter…

A:

Q: A Ferris wheel is 60 meters in diameter and boarded from a platform that is 10 meters above the…

A: From the given information the rider gets on the minimum height of the ride. So, the motion of the…

Q: A television camera is on a reviewing platform r = 22 meters from the street on which a parade…

A:

Q: Collin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several…

A: The rate of change of angle covered by a point per unit time is called the angular velocity of the…

Q: *5. A water wheel (used for power in the 18th century) is illustrated to the right. Sketch a graph…

A: Let r be the radius of wheel, r=11 Let y be the height of the bucket above the water.

Q: A Ferris wheel is 60 meters in diameter and boarded from a platform that is 10 meters above the…

A: The midline of the function is the height of the center of the Ferris wheels 10+60/2=40 The period…

Q: Consider the function f (x) = 2 (cos (x – 3) + 3). Determine its amplitude, period, and midline.…

A:

Q: 47. Range of a Projectile If a projectile is fired with velocity u, at an angle 0, then the maximum…

A: (a) To find the angle when the projectile be fired to reaches the maximum height 2000 ft.

Q: Consider a circle of radius 4 and a point P rotating around it, as shown in the figure to the left,…

A:

Q: An observer views a rocket take off from a distance of 2 miles from the launch pad, and tracks the…

A: To find the following terms

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: Given, A rain gutter is constructed from a metal sheet of width 30 cm by bending up one-third of the…

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A:

Q: An observer views a rocket take off from a distance of 6 miles from the launch pad, and tracks the…

A: The given situation can be described by the following figure:

Q: 73. Determine whether each function in the tables below is positive, (+), or negative, (-), for…

A:

Q: A Ferris wheel has a radius of 34.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the…

A: Given: Radius of the Ferris wheel is 34.8 feet. The bottom height is 0.7 feet.

Q: The height above the ground (in meters) of a person on a Ferris wheel as a function of the angle…

A:

Q: A buoy bobs up and down in the lake. The distance between the highest and lowest points is 2.5 m. It…

A: Given : A buoy bobs up and down in the lake.  The distance between the highest and lowest points is…

Q: A Ferris wheel has a radius of 32.6 feet. The bottom of the Ferris wheel sits 0.6 feet above the…

A: given: A ferris wheel has a radius of 32.6 feet. the bottom of the ferris wheel sits 0.6 feet above…

Q: Aviation A helicopter maintains an elevation of 3.5 miles and is flying toward a control tower. The…

A: We use Trigonometry ratios

Q: Each time your heart beats, your blood pressure increases, then decreases as the heart rests between…

A:

Q: A boat at anchor is bobbing up and down in the sea. The vertical distance, y, in feet, between the…

A: Vertical velocity

Q: The rod on a pump rises and falls as the pump operates. Function /gives the height of the top of the…

A: Question is based on range of sine function. range of sine function is :- -a ≤ a[sin(x + θ)] ≤ a

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.