# Foundations of Mathematics 10

~SUBMISSION 7~

Be sure to show your WORK for all circled questions

Round to three decimal places:

1. sin 56 _________

2. tan 18 _________

3. cos 82 _________

Find x (round to nearest whole number)

4. sin x =

11

9

_________

5. tan x = 0. 459 _________

6. cos x = 0. 366 _________

7. If tan x = .593, then sin x = ? (Round to

three decimal places). _________

Solve for x (Round to nearest whole number)

8. Tan 64 =

23

x _________

9. Cos 54 =

x

76.4

_________

10. Sin x = 0.5 _________

11. In ∆ABC, A is 34 degrees, B is 90

degrees, and side AC is 9 cm. Find the

length of side AB. (Round to nearest tenth)

_________

12. In ∆DEF, D is 90 degrees, DE = 5 and

EF = 7. Find the size of DEF . (Round to

nearest whole number) _________

13. How many feet from the base of a house

must a ladder 40 feet long be placed so that

the top of the ladder will reach a point on the

house 36 feet above the ground? (Round to 1

decimal place) (2 marks)

_________

14. In the following figure, the angle of elevation

from A to E is 54 degrees. Find the distance

CE and the area of entire figure AECB.

(Round both to nearest whole number—DO

NOT round answers until END OF question!))

a. (2 marks) CE = ________

b. (2 marks) Area of AECB = ________

15. In the figure below, find the value of CD

(Round to nearest whole number – 2 marks))

CD = ______

UPLOAD in MOODLE

I verify that this Submission page has been completed by ______________________________ without assistance.

Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________

BONUS QUESTIONS (Optional) – 5 marks

1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!)

ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENT

Question 1 (No work needed)

In the correctly worked addition sum at right, A,B,C and D represent different digits, and

all the digits in the sum are different. What is the sum of A, B, C and D?

Answer __________

Question 2

What is the equation of a line (in slope intercept form) which is a reflection of line y = 3x + 2 in the xaxis?

Answer __________

Question 3 (No work required)

Draw the figure that best completes the series

Answer

Question 4 (Explain how you arrived at your answer!)

Which number comes next in this series?

2, 3, 5, 7, 11, 13, ____

Answer __________

Question 5

This semicircle has an area of 17.6714. What is the area of the square inscribed inside the

semicircle? (Round to nearest whole number)

Answer __________

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