5 fti (a) Write 0 as a function of s. (b) Find 0 when s = 40 feet and s = 20 feet.

Q: 1. Let h = -150sin(0) + 260. This equation describes the height h, in feet above the ground, of a…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determining a Rider's Height on a Ferris Wheel The London Eye is a huge Ferris wheel with a diameter…

A: topic - trigonometric functions

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

A:

Q: (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal…

A: According to graph The amplitude =a=13 Period =T=3π4+π4=4π4=π Horizontal shift =π4

Q: Sinusoidal Function Applications 1. Ferris Wheel Problem As you ride the Ferris wheel, your distance…

A: Sinusoidal function  ft=A sinBt+C +D Here A is amplitude          2πB is period         C is phase…

Q: Related rates. The tip of a fishing pole is located 10 feet above the water. This iskept constant as…

A: From the given information it is observed that,

Q: The height (in meters) of a person on a Ferris wheel as a function of the angle from the 3 o'clock…

A:

Q: rises at the rate of 8 Find the rate of change of the angle of elevation when the balloon is 25 feet…

A:

Q: A Ferris wheel has a radius of 30.6 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

A: Given that, A Ferris wheel has a radius of 30.6 feet. The bottom of the Ferris wheel sits 0.5 feet…

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: A statue 10 feet high is standing on a base 13 feet high. If an observer’s eye is 5 feet above the…

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

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

A:

Q: A Ferris wheel has a radius of 30.6 feet. The bottom of the Ferris wheel sits 0.6 feet above the…

A:

Q: 57. The Ferris Wheel In 1893, George Ferris engineered the Ferris Wheei. It was 250 feet in…

A: The equation is  h(t)=1250.157t-π2+125

Q: Elevator An observer is 22 m above the ground floor of a large hotel atrium looking at a…

A: the given figure is: given that: An observer is 22m above the ground floor of a large hotel atrium…

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: Hampton is a small town on a straight stretch of coastline running north and south. A lighthouse is…

A: The figure is shown below and we can use trigonometry ratios to find the distance from Hampton to…

Q: 44. Linear vs. Angular Speed A wheel of radius30 centimeters revolves at a rate of 10 revolutions…

A:

Q: Rachel is bowling with her friends. Her bowling ball has a radius of 4.1 inches. As she bowls she…

A:

Q: 4. A particular person's blood pressure varies from 70 to 130 every second. If we use the function P…

A:

Q: A Ferris wheel is 23 meters in diameter and completes 1 full revolution in 16 minutes. revolves…

A: We have to find the height of person from above the ground

Q: A photographer takes a picture of a three-foot-tall painting hanging in an art gallery. The camera…

A: To find the extrema of any function, y=f(x), we need to first find its critical values which are…

Q: 59. Holding Pattern Suppose that an airplane is asked to stay within a holding pattern near…

A: According to question,Given distance function,dx = 70 sin 0.65x + 150

Q: Wave Motion A buoy oscillates in simple harmonic = A cos wt as waves move past it. The buoy moves a…

A:

Q: A Ferris wheel has a radius of 40.4 feet. The bottom of the Ferris wheel sits 0.8 feet above the…

A: Here we solve the given problem.

Q: SteamBoat Problem Mark Twain sat on the deck of a river steamboat. As the paddle wheel turned, a…

A: Given that mark twain sat on the deck of a river steamboat as the paddle wheel turned a point on the…

Q: Height of a Pole A 50-ft pole casts a shadow as shown in the figure. (a) Express the angle of…

A:

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

A: Given- Justin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several…

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: 69. Viewing Angle of a Sign A 10-ft-wide highway sign is adja- cent to a roadway, as shown in the…

A: a. Consider the below graph, Now obtain the angle. tanθ=10xθ=tan-110x

Q: Observing a launch An observer stands 300 ft from the launchsite of a hot-air balloon. The balloon…

A: GivenObserver stands from the launch of a hot air ballon=300ft.Velocity…

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

A:

Q: A hot air balloon is attached to a tether rope tied to a truck. The rope is stretched out to 100…

A:

Q: SteamBoat Problem Mark Twain sat on the deck of a river steamboat. As the paddle wheel turned, a…

A: Please find the detailed solution.

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

A:

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

A: Given : A 680 - ft rope anchors hot-air balloon.   a) To express the angle θ as a function of the…

Q: A Ferris wheel has a radius of 36 feet. The bottom of the Ferris wheel sits 0.6 feet above the…

A: Consider the figure:

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: 70. Viewing Angle of a Tower A 380-ft-tall building supports a 40-ft communications tower (see the…

A:

Q: A Ferris wheel is 21 meters in diameter and boarded from a platform that is 1 meter above the…

A:

Q: television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters…

A: solution:-using pythagorean theorems2=7502+h2h=s2+7502applying trigonometric…

Q: Antonio boards a Ferris wheel at the3-o'clock position and rides the Ferris wheel for multiple…

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: SteamBoat Problem Mark Twain sat on the deck of a river steamboat. As the paddle wheel turned, a…

A:

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

A:

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: Variable stars are ones whose brightness varies periodically. The brightness of a certain star is…

A: b(t)= 8.7-2.9 cosπ154t By analyzing the graph    (a) Period of b(t) = 308 days

Q: 2. COS cos 81° – sen- 81° sen 81°

A: To find the expression of cos281°-sin281° as a function of a single angle, we will use the…

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.