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Trigonometry

Using Trigonometry to Build a Wheelchair Ramp

A contractor is building a wheelchair accessibility ramp (see figure) for a business. Using your knowledge of right-triangle trigonometry, help advise him how to create a ramp whose dimensions will meet the specification needed that will allow wheelchair accessibility. Talk about the procedure the contractor will need to follow

Trigonometry Word Problems : Radius and Circumference of the Earth

Please see the attached file. 1 The engine of a sport car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. 2 We will redo Eratosthenes's famous calculations of the measurements of the Earth that he made in 236 BC. There are two cities on the surface of the Ear

Trigonometry

1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. Show work here: 2. Two boats leave the port at the same time. The first boat travels due ea

Trigonometry has many applications in the real world.

Please help with the following problem. Provide at least 200 words. Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture. If you were an architect, describe a specific situation in which you could use right triangle trigonometry to help you design a new hospital

Pythagorean Theorem : Point of Tangency

Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TVs in homes within a certain radius. Because Earth is spherical, these signals don't get picked up beyond the point of tangency which could be calculated using the Pythagorean Theorem" Question: Can you describe how you would calculat

Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch.

Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal In your pos

Solving Trigonometric Equations

Please give detailed explanation. Please see attached file for full problem description. Solve, finding all solutions in [0, 2) and [0, 360). Express solutions in both radians and degrees. tan  = 1 / 3

Solving Trigonometric Equations

Solve, finding all solutions in [0, 2) or [0, 360). 12cos2  + 8cos  + 1 = 0 A).  = 60 and 240&#6161

Trigonometric Equations

.............................................................................................................. Solve the problem cos 5x / 2 + cos 3x/2 2 sin 2x sin x/2 2 sin 2x sin x 2 cos 2x 2 cos 2x cos x/2 ......................................................................................................

Trigonometry Word Problems for Baseball

The distance from home plate to dead center field in Sun Devil Stadium is 401 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it first base to dead center field. Solve the problem. One number is 6 less than a second number. Twice the second number is 48 more than 5 tim

Trigonometry : Angles and Lengths

MTH212 Unit 5 Individual Project - A 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. Work shown here:

Transformations of Graphs of Trigonometric Functions

Describe the transformations required to obtain the graph of the given function from a basic trigonometric graph. 43. y=0.5 sin 3x How do you come up with the following answer? starting from y=sinx, horizontally shrink by 1/3 and vertically shrink by 0.5 45. y= -2/3 cos x/3 How do you come up with the following answer? s

Trigonometry and Plotting Trigonometric Equations

Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is 5.7 centimeters and the radius of the larger wheel is 18.1 centimeters. Through how many degrees will the larger wheel rotate if the smaller one roatates 151 degrees? ans. 47.55 deg

Trigonometry

Please see the attached file for the fully formatted problems. MTH212 Unit 5 Individual Project - A 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive fu

Slope of Incline, Power and Energy

A. A tank of mass 80 metric tons is travelling at a uniform speed of 54 KM/hr on a level terrain. It then starts travelling uphill on an incline of 1 in 10 (sine slope). Calculate the extra power required from the engine in megawatts to maintain the same speed on the incline. b. When it has travelled 100m up the incline the d

Speed Unit Conversions

1540 mm/microseconds = ___________ m/s 1 X 10^5 cm/mlliseconds = _______1050____ m/s If a sound wave travels through soft tissue at a velocity of 1.54 mm/microsecond for 2203 ms, How far has the sound wave traveled using the echo-ranging formula d=ct, where d= distance, c= velocity, t= time Using the same formula

Pythagorean theorem and sin rule

1) Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. A=23 degree B=21 degree a = 42.8 (2) The distance from home plate to dead center field in Sun Devil Stadium is 401 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it fro

A man holds a 178 N ball in his hand, with the forearm horizontal (see the drawing). He can support the ball in this position because of the flexor muscle force M, which is applied perpendicular to the forearm. The forearm weighs 20.2 N and has a center of gravity as indicated. (a) Find the magnitude of M. (b) Find the magnitude and direction of the force applied by the upper arm bone to the forearm at the elbow joint.

A man holds a 178 N ball in his hand, with the forearm horizontal (see the drawing). He can support the ball in this position because of the flexor muscle force M, which is applied perpendicular to the forearm. The forearm weighs 20.2 N and has a center of gravity as indicated. (a) Find the magnitude of M. (b) Find the m

Functions: Discontinuities, Trends and Forecasting

1) What is a discontinuity? How are discontinuities found? Which types of graphs are continuous? 3) If Bob starts off with a salary of $50,000 and earned $1000 a year for his salary, give the equation of his salary, S, for year t. Use this equation to find the year in which he would be earning $56,400. Show all your work usin

Vector Addition and Trigonometry

One force is pushing an object in a direction 50 degree south of east with a force of 25 Newton. A second force is simultaneously pushing the object in a direction 70 degree north of west with a force of 60 Newton. If the object is to remain stationary, give the direction and magnitude of the third force which must be applied to

Trigonometry Word Problems and Geometry

1. Find the length L from point A to the top of the pole. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per se

Area and Volume Word Problems

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of

Dimensions of the Door

Hazel has a screen door whose height is 4 feet more than its width. She wishes to stabilize the door by attaching a steel cable diagonally. If the cable measures sq 194/2 ft, what are the dimensions of the door?

Trigonometry : Tire Wear, Equations and Identities and Tangent Functions

You interviewed an employee of an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group asked the U