43. Height of a Balloon A 680-ft rope anchors a hot-air balloon as shown in the figure. (a) Express the angle 0 as a function of the height h of the balloon. (b) Find the angle 0 if the balloon is 500 ft high. 680 ft

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

A:

Q: A 6-foot man walks on level ground toward a 45 foot flag pole. He notes different angles of…

A:

Q: An airplane is flying at an altitude of 30,000 feet. The distance, d, in feet, from an observer on…

A:

Q: Can i get help step by step please

A:

Q: h = 3 sin[30 (t - 4)] +5 O 1.5m O 5m

A: at 5 pm , t = 5

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: Tide height as a function of time resembles a sinusoidal function during the time between low and…

A:

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: A 70-ft pole casts a shadow as shown in the figure. 70 ft S (a) Express the angle of elevation of…

A: We can answer both the question as below.

Q: c)  State the domain and range of the function obtained in part a)

A: We have to find

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

A:

Q: An observer views a rocket take off from a distance of 5 miles from the launch pad, and tracks the…

A:

Q: 7. An ant is sitting on the rim of a bike wheel suspended 0.5ft in the air (the circle shown below…

A: Question is solved.

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

A: From the given information , we got a right angle triangle tan (θ)=opposite side adjacent sidetan…

Q: The sin0̸ is an increasing function in the first quadrant and a decreasing function in the second…

A:

Q: An airplane is flying at an altitude of 30,000 feet. The distant d in feet from an observer on the…

A: use the trigonometric ratio to find the value

Q: 10. Plot the function f(x) = cos x sin(2x) and its derivative, both on the same plot, for aSxSa.…

A: Find the derivative and plot it

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

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

A:

Q: A rocket is rising vertically at a rate of 5400 miles per hour. An observer on the ground is…

A:

Q: Use Simpson’s Rule to approximate the av-erage value of the temperature function ƒ(x) = 37 sin (2pai…

A: Given information:

Q: altitude of 1 km and climbs at an angle of 30°. At what rate is the distance from the plane to the…

A: Given the speed of the plane i.e. = 300km/h  And angle of elevation is = 30°  We have to find the…

Q: 3. As you stop at a traffic light, a pebble becomes stuck in the tire treads. When you start off,…

A: Question (3a). According to the question, The diameter of the tires is 24 inches, So the radius of…

Q: 3. Ana is riding in Ferris wheel. Suppose the lowest point of a ferris wheel is 2 meters off the…

A: Find your answer below

Q: The function f(x) = -6 sin (32+)- 5 models the average rate of change in temperature of a substance…

A: We know the range or sinx is (-1, 1)

Q: The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the…

A:

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

A:

Q: 1. A statue 5 feet tall stands on a pedestal 9 feet high. If an observer's eye is 5 feet above the…

A: A statue 5 feet tall stands on a pedestal 9 feet high. If an observer's eye is 5 feet above the…

Q: What is the equation of the function?

A:

Q: Two vertical poles of length 6 feet and 8 feet, respectively, stand 10 feet apart. A cable reaches…

A:

Q: 2) A 50 foot diameter Ferris wheel is constantly turning at four revolutions per hour. The bottom of…

A: Amplitude, A:The diameter of the wheel,d = 50 ftThe radius of the wheel is,r = d2 = 25 ftAmplitude…

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

A:

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 painter leans a 12 foot ladder against the wall. It forms a angle of elevation of 55° with the…

A: The figure is given by To evaluate : The value of x

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: Ana is riding in Ferris wheel. Suppose the lowest point of a ferris wheel is 2 meters off the…

A: Draw a schematic diagram of given question.

Q: A lighthouse stands 475 m off a straight shore and the focused beam of its light revolves four times…

A:

Q: The function f (x) = -6 sin (x +) - 5 models the average rate of change in temperature of a…

A: We know range of sinx is [-1,1]

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: A seat's position on a Ferris wheel can be modelled by the function h(t) 14 sin (2.1t + 0.8)+ 15.5…

A: We have to find the height at given time.

Q: 5. Zahra rides a Ferris wheel at a carnival. The wheel has a diameter of 18m and turns at a constant…

A:

Q: Tide height as a function of time resembles a sinusoidal function during the time between low and…

A:

Q: A balloon rises at a rate of 3 meters per second from a point on the ground 60 meters from an…

A:

Q: Distance between cars At noon, car A is 10 feet to the right and 20 feet ahead of car B, as shown in…

A: Pythagoras theorem states that the square of hypotenuse is equal to the sum of square of the other…

Q: Express the function by a formula. 3. The height of a cylindrical can as a function of the base, if…

A: The objective is to express the function by a formula. The height of a cylinder can as a function of…

Q: A 40-ft pole casts a shadow as shown in the figure. 40 ft (a) Express the angle of elevation 0 of…

A: tanθ = 40s θ = tan-1(40s)

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

Q: A 680-ft rope anchors a hot-air balloon as shown in the figure. 1 9 680 ft (a) Express the angle e…

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.