Applications of Trigonometry Test

Unit Test #46

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

The five questions below apply to the diagram in question 1.

Q1:

 

The diagram shows a regular heptagon (7 sided polygon) inside a circle.

What is the size of each angle (x) made at the centre, O (to 1 d.p.)?

A. 51.4°

B. 25.7°

C. 64.3°

D. 38.6°

 Answer 1:

 

Q2:

 

 Which trigonometric rule would be best to use to find the length ED?

A. double angle formula

B. area formula

C. cosine rule

D. none of the above

 Answer 2:

 

Q3:

 

 What is the area of triangle OED?

A. 32 units2

B. 50 units2

C. 225 units2

D. 25 units2

 Answer 3:

 

Q4:

 

 Find the length of ED ( to 3 sig. figs.).

A. 48.1 cm

B. 6.94 cm

C. 48.2 cm

D. 6.93 cm

 Answer 4:

 

Q5:

 

 What is the perimeter of the heptagon ( to 3 sig. figs.)?

A. 48.6 cm

B. 337 cm

C. 56 cm

D. 201 cm

 Answer 5: