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- GCSE Trigonometry of Right-Angled Triangles
- Handcrafted resources for maths teachers.
- gcse trigonometry questions and answers pdf

Worked Solution. ABC is a right-angled triangle as shown in the diagram below. Calculate the length of AB giving your answer correct to three significant figures. An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29 o.

Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1. Neung is at Bangkok's Suvarnabhumi Airport watching the planes take off. He observes a plane that is at an angle of elevation of 25 o from where he is standing at point N.

The plane is at a height of metres as can be seen in the following diagram not to scale. Give your answer to the nearest metre. The plane took off from a point T, which is metres from where Neung is standing, as shown in the following diagram not to scale.

Find the length of BC. The Tamarack triathlon race consists of swimming, cycling and running. The distance from C to A is 4 kilometres. Running this part of the course takes Walter 25 minutes. ABC is a triangular car park on horizontal ground. The length of AB is 90m and the length of AC is 65m. The size of angle BCA is 68 o.

Christine owns a four sided piece of land shown in the diagram below as ABCD. The diagram is not to scale. Christine decides to sell the triangular portion of land ABD. She first builds a straight fence from B to D. Give your answer correct to the nearest USD. Christine invests USD from the sale of the land in a bank that pays compound interest compounded annually.

He next marks a fourth point, D, on the ground at a distance of 12m from B, such that angle BDC is 53 o. The builder digs up and removes the soil under the quadrilateral ABDC to a depth of 90 cm for the foundation of the house. To transport the soil removed, the builder uses cylindrical drums with a diameter of 46cm and a height of 70cm. Melissa has a webcam on the top of her computer screen.

She has the zoom level adjusted so that that her head is framed nicely in the image produced. The diagram shows the setup. The webcam is at point C directly above point D on the floor. The area covered by the camera is shown by the shaded region enclosed by triangle ABC. The distance from A to C is 4 m and the distance from A to B is 1. Angle ACB is 16 o. Melissa's younger brother is 95cm tall. He walks into the room from the door at the opposite end of the room from Melissa's computer.

When he reaches point A his feet first appear in the video being recorded by the webcam. He continues to walk until the top of his head is in shot at which points he stops. The course starts and finishes at point A. Give your answer to the nearest minute.

To comply with safety regulations, the area inside the triangular course must be kept clear of people, and the shortest distance from B to AC must be greater than metres. The course is viewed from a tower which rises vertically from point A. The top of the tower is point T. The angle of elevation of T from B is 8 o.

Emma sails in a small dinghy from point A in a straight line to a buoy at point B. Find angle ABC. Find the bearing that Eamonn must take to point C.

Find, to the nearest minute, the time it takes for Eamonn to reach point C. The diagram shown the origin O 0,0 and a fixed point A 10,2.

Explain, in terms of the positions of the points O, A and P, why this equation has a solution. If you would like space on the right of the question to write out the solution try this Thinning Feature.

It will collapse the text into the left half of your screen but large diagrams will remain unchanged. The exam-style questions appearing on this site are based on those set in previous examinations or sample assessment papers for future examinations by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription. Exam-Style Questions Main Page. Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world.

Click here to enter your comments. Calculate the length of side BC to three significant figures. GCSE Higher An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29 o. This diagram is not drawn to scale. Calculate the full height of the tree. Calculate the length of side CD Worked Solution. Calculate the length of BC to three significant figures.

IB Studies The Tamarack triathlon race consists of swimming, cycling and running. Angle ACB is 22 o. It takes Walter 10 minutes and 20 seconds to cycle from B to C at a speed of 29kmh EF is parallel to AB. The area of the triangle is 20cm 2. M is the midpoint of AC. A vertical flag pole, FB, is erected in one corner of the car park with its base at B. The angle of elevation of F from M is H is the midpoint of the flag pole.

Use the cosine rule to calculate the length of BF. Calculate the area of triangle ADC. Diagram not to scale Worked Solution. Lengths are given in centimetres. The diagram is not to scale Christine decides to sell the triangular portion of land ABD. The fence costs 19 USD per metre to build. She sells the land for USD per square metre. Give your answer in m 3 To transport the soil removed, the builder uses cylindrical drums with a diameter of 46cm and a height of 70cm.

Give your answer in m 3. IB Applications and Interpretation Melissa has a webcam on the top of her computer screen. It is estimated that a drone can travel at an average speed of 4. IB Standard The diagram shows a circle of radius 8.

Exam-Style Questions on Trigonometry Problems on Trigonometry adapted from questions set in previous Mathematics exams.

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Primary Study Cards. May 30, December 16, corbettmaths. Search for: PDF … Read each question carefully before you begin answering it. Advanced Trigonometry.

Worked Solution. ABC is a right-angled triangle as shown in the diagram below. Calculate the length of AB giving your answer correct to three significant figures. An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29 o. Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1.

Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Use the Pythagorean Theorem to see if the measurements below can form a right triangle. Primary Study Cards.

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You can create printable tests and worksheets from these Grade 12 Calculus questions! Two large and 1 small pumps can fill a swimming pool in 4 hours. A man is working out the height of a vertical tree. Even though the subject is is easy, it is sometimes complicated for students to get their heads around basics concepts like angles, what pi is, angles in a circle and their use, right triangle using sine and cosine. Start with the Compound Angle formulas, explain how cos. The grade 11 mathematics trigonometry worksheet tests the sine, cosine and area rules learnt and determines whether students can apply it to two-dimensional 2D questions.

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