trigonometry help

Student’s name Teacher’s name

_________________________________ _____________________________

2021

Task 3: Take Home Task- Trigonometry

Mathematics Standard 2

General Instructions

Reading time – 5 minutes
Working time – 2 Weeks
Write using blue or black pen

Black pen is preferred

Calculators may be used
A formulae sheet is provided at the back of this paper

Total Marks – 30

Section I: Pages 2 to 4

9 marks

Attempt questions 1-3, using the answer sheet on page.
Ensure all working out has been provided

Section II: Pages 5 to 7

9 marks

Attempt questions 4-6.
Ensure all working out has been provided

Section III: Pages 8 to 11

12 marks

Attempt questions 7-8
Ensure all working out has been provided

Section I

(9 Marks)

Section II

(9 Marks)

Section III

(12 Marks)

Total

(30 Marks)

Grade

Student Comment: Please ensure this section has been completed upon submission. This involves strengths/ weakness/ challenges you faced during the completion of the task.

Teacher Comment:

Section 1 - Band 4 Questions (9 marks)

1 . The point A is 32 m from the base of a building. The angle of elevation from A to the top of the

building is 42°.

trigonometry help 1

Show that the height of the building is approximately 28.8 m. (2 mark)

A car is parked 74 m from the base of the building. (2 marks)

What is the angle of depression from the top of the building to the car?

Give your answer to the nearest minute.

2. Town is 62 km due south of Town . Town is on a bearing of from and is due west of B.

trigonometry help 2

Find the size of (1 mark)

Find the distance between Towns A and C, to the nearest kilometre. (2 marks)

3. Using the sine rule, find the value of correct to one decimal place. (2 marks)

trigonometry help 3

Section 2 – Band 5 Questions (9 marks)

4. The diagram shows a triangle with side lengths 24 cm and 52 cm and angle 27° and . (3 marks)

trigonometry help 4

Find , given it is an obtuse angle. Give your answer to the nearest minute.

5. Find the area of triangle, correct to the nearest square metre. (3 mark)

trigonometry help 5

6. A compass radial survey of the field has been conducted from . (3 marks)

trigonometry help 6

Find the area of the section , to the nearest square metre.

Section 3 – Band 6 Questions (12 marks)

7. A ship sails 8 km from to on a bearing of 134°. It then sails 12 km to . The size of angle is 119°.

trigonometry help 7

What is the bearing of from ? (2 marks)

Find the distance . Give your answer correct to the nearest kilometre. (2 marks)

What is the bearing of from ? Give your answer correct to the nearest degree. (3 marks)

8. The diagram shows two triangles.

Triangle is right-angled, with and is .

In triangle and .

The area of triangle is

trigonometry help 8

What is the value of , correct to one decimal place? (3 marks)

__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Find the length of to 1 decimal place. (2 marks)

Rutherford Technology High School Standard 2: Task 3 12