Two planes take off at the same time from an airport. The first plane is flying at 260 miles per hour on a bearing of S 45.0° E. The second plane is flying in the direction S 45.0°W at 295 miles per hour. If there are no wind currents blowing, how far apart are they after 2 hours? (Round your answer to two decimal places.)

Q: Find the angle a between 0° and 180° that satisfies the following equation. 52 = 122 + 13-…

A:

Q: A ceiling fan has 14-inch blades (so the radius of the circular fan is 14 inches). Suppose the…

A: We have to find - the angular speed of the fan in radians per minute, the number of revolutions a…

Q: Answer the following items. Show all necessary solutions. 1. A passenger ship sails from a point A…

A:

Q: A record is spinning at the rate of 40 rpm. If a ladybug is sitting 10 cm from the center of the…

A: We have to solve given problem as per given conditions.

Q: Find the angle 0 between v = cos 120°i+ sin 120°j and w= cos 135°i+ sin 135°j. If necessary, round…

A: Given, v=cos120∘i+sin 120∘jw=cos135∘i+sin135∘j We know that, cos…

Q: Determine the value of cot e if cose = -V7/3 and e is in quadrant III. V14/2 -V14/2 -V14/7 V14/7 А.…

A: The angle θ lies in the 3rd quadrant and we know that in the 3rd quadrant trigonometric ratios sinθ,…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 9 3 cos 0+2…

A: Let's convert to Cartesian equation.

Q: For the following question, express angular value answers to the nearest minute or hundredth degree…

A:

Q: Find the angle 0 between v= cos 45°i+ sin45°j and w = cos 120°i+ sin 120°j. If necessary, round to…

A:

Q: 15. What quadrant that will make the equation sine= -V1- cos² 0 true? A. I and II B. Il and IV C. I…

A: Given trigonometric equation is: sin θ=-1-cos2 θ Let us consider, sin θ=y ; cos θ=x

Q: angular velocity ω on a circle of radius r. Find the distance s traveled by the point in time t. ω…

A:

Q: 1. When a ball is thrown, the horizontal distance travelled, d, in meters, can be modelled by the…

A:

Q: The equation T=0.8sin(π/28(t−7))+101.2 describes the body temperature of a pig in Fahrenheit, where…

A: Given that t=2 To find the temperature at t=2, we plug t=2 in the given expression.…

Q: The range r of a projectile is given by r= -sin 20, where v is the initial velocity and 9 is the…

A: Given range of projectile r=1/32 (v2 sin 2theta) Where v is initial velocity Theta is the angle of…

Q: Find the area of the sector of a circle with radius 12 miles formed by a central angle of 200°:…

A:

Q: 30. The Jackson Hole Aerial Tram takes passengers from an elevation of 6311 ft to an elevation of…

A: Use the given information and draw a diagram (right triangle) as follows.

Q: ect one: a. 1 rad/s b. 4 rad/s. 1 C. -rad/s 12 d. 1 =rad/s ܩ 0 30 ft

A: Topic:- application of derivatives

Q: Find the cose for the triangle shown below. 0 √5 2 OVS 5

A: As we know from the trigonometric ratio;…

Q: A truck with 22-in.-diameter wheels is traveling at 50 mph. Round answers to 2 decimal places as…

A: Use the formula for the angular speed and Substitute the given data after changing the unit.

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 229 km apart. If one…

A:

Q: If you started 1 mile to the right of your original position, how far would you c) have to travel…

A:

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 4. 7 cos 0+2…

A: To convert the given equation into cartesian form.

Q: A hamster running in the world and radius 11 CM space the world at 26 revolutions per minute. Give…

A: a)Radius=11cm Revolutions  per minute =26 Revolutions per second=26/60 Also. 1 revolution =2 pi…

Q: Find the bearing from O to A. W ►E A 70 °

A: Given the angle

Q: A ceiling fan has 15-inch blades (so the radius of the circular fan is 15 inches). Suppose the…

A: Explanation and solution is given below....

Q: 2. A wheel has a diameter of 90 cm and completes 4 revolutions in 1 minute at top speed. a)…

A:

Q: Find the angle  (in radians and degrees) between the lines. Round your answer to four decimal places…

A: If two non perpendicular lines have slopes m1 and m2 then the angle between these two lines is given…

Q: (a) Find the bearing from 0 to A. The bearing from O to A is

A:

Q: Find the angle (in radians) between the line with equation T(t) = '+t and the line with equation 7…

A: Given query is to find the angle between two lines.

Q: Determine the value of cot e if cose = -V7/3 and e is in quadrant III. %3D V14/2 -V14/2 -V14/7 A. B.…

A: Given- cos θ=-73 To Find- The value of cot θ and  θ lie on quadrant 3rd. Formula Used- sinθ=1-cos2θ

Q: A hamster running in a wheel of radius 10 cm spins the wheel one revolution in 10 seconds. a) What…

A:

Q: Find the inclination ? (in radians and degrees) of the line. (Round your answers to three decimal…

A: Converting the line equation to slope intercept form

Q: A hamster running in a wheel of radius 14 cm spins the wheel one revolution in 20 seconds. a) What…

A: Given query is to find angular and linear velocity.

Q: nd all angles θ between 0° and 180° satisfying the given equation. Round your answer to one decimal…

A:

Q: Which of the following trigonometric equations meets the criteria given? A = 2, B = 3, p = ! %3D y =…

A:

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 9 ft above the…

A: Given that, A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 9 ft…

Q: B A 400 ft 13 с D Rohan is building a fenced in area for his two dogs. The pen will be a rectangle,…

A: Given figure is

Q: Answer the following questions. a. Write a formula that expresses Laura's horizontal distance to the…

A: We know that, cos(theta) is the horizontal distance and sin(theta) is the vertical distance.

Q: Point P sweeps out central angle θ as it rotates on a circle of radius r as given below. Find the…

A: θ = 55π, t = 1.1 hr Known fact: The angular velocity w of point P that rotates on a circle and…

Q: Solve the following problems (using solution by sine law/cosine law): 1. Two surveyors, Alice and…

A: Let CD is the steep cliff and let A be the position of Bob and B be the position of Alice. Distance…

Q: 2. A truck is moving at a rate of 90 km/hr., and the diameter of its wheels is 1 meter. Find the…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the angle (in radians) between the line with equation F(t) = +t and the line with equation…

A:

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A: The perimeter of the arc subtending an angle θ is, P = 2πr×θ360°. we have been given r and p and we…

Q: A ladder 35 feet in length rests against a vertical wall. The foot of the ladder is 10 feet from the…

A:

Q: 5. A wheel with a diameter of 20 cm is rotating at 10 radians /sec. Find the linear speed (cm/min)…

A:

Q: A ceiling fan has 20-inch blades (so the radius of the circular fan is 20 inches). Suppose the fan…

A: →Angular speed , ω = 2π×N60 radians per second , where N is speed in rpm.→Linear speed ,V = r ω ,…

Q: Q1 Sin θ = 5/13 , where 0 ⁰˂ θ ˂ 90⁰ Find the measurement of angle θ to the nearest degree

A: The measurement of angle is given below.

Q: Y Sin (30) = X X 16 16 16 5. A truck with 22-inch radius wheels is traveling at 45 miles/hour. Find…

A:

Q: Use the triangle in the illustration for the exercise. B 68.0 m 34.0 m A 59.0 m Find cos(B). (Round…

A:

Q: K. 6 The London Eye Ferris Wheel has a diameter of 135 m, and the wheel takes about half an hour to…

A: