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# Trigonometry

### Creating wheelchair ramp using right angle triangle trigonomotry

A wheelchair accessibility ramp for a business needs to be built. Using 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 to find the dimensions of the three si

### Trigonometry function

The questions are in the attachment 1. The tide in a local coastal community can be modelled using a sine function. Starting at noon, the tide is at its "average" height of 3 metres measured on a pole located off of the shore. 5 hours later is high tide with the tide at a height of 5 metres measured at the same pole. 15

### Trigonometry - Period and Amplitude

The model for the height of a tidal wave for a 24 hour period is given by H(t) = 1.25 + 0.85 cos 0.498(t - 1) where H(t) is the height of the tide in meters at a time t measured in hours from midnight. (a) What is the period of the wave? (b) What is the greatest height of the wave? (c) At what time will high tide first occur?

### Pythagorean Theorem Proofs

There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the que

### 3)Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be expressed as matrices. Help them solve the following problems. 3. The chemical retardants are freight shipped from a warehouse. A shipping crate that weights 450 kilograms is placed on a loading ramp that makes an angle of 30 degrees with the horizontal. Find the magnitude of the components of the crate's weight perpendicular and parallel to the incline.

3)Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can b

### Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be expressed as matrices. Help them solve the following problems. 2. In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft. Find the area covered by the chemical retardant.

Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be

### Researchers at the National Interagency Fire Center in Boise

Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be

### Cos x and Sin(x + 90)

Why are cos x & sin(x+90) the same function?

### Trigonometry - Find the exact values

Please show the formula and steps in getting the answer. I think we need to use half angle formula and sum and difference formula's to get the answers for those question.

### Polar Coordinates and Trigonmetry

Please provide the step wise solution to each question. Please see the attached file.

### Pythagorean theorem application

Use the Pythagorean Theorem to determine if an angle is the right angle (3-4-5 triangle). What would you use the Pythagorean Theorem for? List one example either from work or personal life or any other application.

### Sum/difference identities

Show all work for any credit!!! 1. Using the Sum/Difference Identities to find the following: sin11∏/12 2. Using the Sum/Difference Identities to find the following if: sinß =105/5513; 0≤ß≤90 and cosa=117/225;270≤a≤360: tan(a+ß) 3. Using the information for a and ß from #2 above, find each of the fo

### Sine rule measurement

Use the sine rule to find the unknown labelled sides or angles. Answers given: x = 7.18 angle = 38.7 degrees

### Techniques in Trigonometry

Please see the attached file. Demonstrate the techniques to use right triangle trigonometry. Apply critical thinking skills to the content of the course. 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 situat

### Finding perimeter of triangle

Please see attached file.

### Perpendicular lines - Geometry and Coordinate Geometry

"How can you determine if two lines are perpendicular?" This is what I understand out of it By definition, perpendicular lines intersect each other at 90 degree angle. In co-ordinate geometry, product of their slopes is -1.

### Proof of a Trigonometric Identity

Verify or Prove the identity: (sin x + cos x + 1)/(sin x + cos x - 1) = (csc x)(sec x) + csc x + sec x + 1

### Pythagorean Theorem

There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the que

### Building a Wheelchair Accessibility Ramp with Trigonometry

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 has many applications in the real world. One particular area in which it can be used is in architecture.

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. Give a specific example and explain how right triangle trigonometry co

### 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

### How do you find the multiplicity of the root of f(x)?

Let f(x) = 3cos(x) + cos3(x). Clearly f(x) has a root at x = pi/2. Find the multiplicity of this root.

### Trigonometry and Derivatives : Minimizing Distance

A ship is travelling south at 4km/h , when it sees another ship, dead ahead at a distance of 25km. The second ship is travelling east at 3km/h. What is the closest distance the two ships come to each other

### Trigonometry and Derivatives : Minimizing Distance

A man is on an Island, 4 km from the nearest point P, on a straight shore. He wants to connect a cable from his present position to a point B , on the shore that is 9000 meters from P. The cable costs \$5 per meter in the water and costs \$3 per meter on shore. Where on the shore should the cable exit the water, so that the cable

### 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

### Integral for Inverse Trigonometric Function

Evaluate the integral. (integral sign) e^(2x) dx/sqrt[1-e^(4x)] Please show steps.

### 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