Name: 

Evaluate , to four decimal places.

In , QV = 9 cm and VB = 12 cm. Determine the tangent ratio of Q, to the nearest thousandth.

A surveyor, S, is measuring the width of a street, using a marker, M. The surveyor cannot measure the width directly, because there is too much traffic. She stands on the east side of the intersection. The marker is on the west side of the intersection, and is 18 m north of the intersection.  Determine the width of the street, to the nearest tenth of a metre.

Determine the length of y, to the nearest tenth of a metre.

A ladder leans against a vertical wall and makes an angle of 80.7° with the ground. The foot of the ladder is 1.5 m from the base of the wall. Determine the length of the ladder, to the nearest tenth of a metre.

Choose the correct formula for the cosine ratio of .

Evaluate cos 26°, to four decimal places.

If cos A = 0.5000, then the measure of A, to the nearest degree, is

Use the diagram to answer the following question(s).
Elizabeth is flying a kite in a field. She lets out 38 m of her kite string, which makes an angle of 76° with the ground.

Determine the height of the kite above the ground, to the nearest metre.

If , what is the measure of , to the nearest degree?

Determine the time-and-a-half rate for an hourly wage of $13.20.

A desk clerk works the late shift and earns $236.31 for the 7.25-h shift. A shift premium of $75.00 is paid for working later. What is the regular rate of pay/h?

Cheng does odd jobs for his family and the neighbours. He keeps track of the jobs he does on his block for the week and records them in the chart below:

Job	Hourly Pay
Babysitting	$11.50
Dog Walking	$6.00
Car Wash	$7.50
Gardening	$12.00
Mowing Lawns	$10.50

If Cheng babysits for 4 h, walks dogs for 2 h, washes cars for 1 h, gardens for 4 h and mows lawns for 5 h what is his income for the week.

A job as an education assistant is unionized with 1.75% deducted for union dues. What was the gross salary if $3.33 was deducted?

The Canada Pension Plan (CPP) rate is currently 4.95% of a person’s gross pay up to a maximum of $2593.80. If the government were to change the rate to 3.13%, what would be the difference in CPP payments for an annual salary of $40 000?

The Employment Insurance (EI) rate is 1.66% of a person’s gross pay up to a maximum of $836.19 per year. How much did Kai make if her EI payments for the year are $713.80?

Mei works at a candy store on Monday night where she earns $249.85 per month. Mei uses this money to pay for her cell phone plan that is $42/month, a transit pass for $49/month, and a yoga class for $50/month. If Mei wants to save $250 for a new bike, and she saves 40% of her paycheque per month, how long will it take to save the money?

Lucas receives a pay stub from his job as an executive assistant. He is paid bi-weekly.

Earnings Statement
Employee Name: Wong, Lucas
Occupation: Athletic Trainer
Period End Date: June 18
Cheque Number: 1317

Earnings					Deductions
Description	Hours	Rate	Amount		Description	Amount
Regular Hours	80	20.50	1640.00		Income Tax	748.02
Overtime	18	30.75	553.50		EI	21.46
Overtime	0	41.00	0.00		CPP	64.85
Vacation Pay			87.74
Gross Pay			2281.24		Total Deductions	834.33
					Net Pay	1446.91

What is Lucas’s gross pay for the year?

Use the pay stub to answer the following questions.

Hunter receives a pay stub from his job as an executive assistant. He is paid weekly. Due to a computer glitch some of the calculations were replaced by “ *****”.

Earnings Statement
Employee Name: Smith, Hunter
Occupation: Writer/Editor
Period End Date: March 20
Cheque Number: 1285

Earnings					Deductions
Description	Hours	Rate	Amount		Description	Amount
Regular Hours	40	19.75	*****		Income Tax	203.99
Overtime	2.5	29.63	*****		EI	14.92
Overtime	0	39.50	*****		CPP	44.48
Vacation Pay			34.56
Gross Pay			*****		Total Deductions	*****
					Net Pay	*****

What percentage of Hunter’s gross pay was he able to take home at the end of the pay period?

Ali is hired by the Ministry of Forests plant trees for the summer. On average he plants 3500 trees per week. What is Ali’s gross pay at the end of the 6 weeks if he is paid $0.17 per tree?

In ABC, the hypotenuse AB is 10 cm, and B is 38°. How long is AC, to the nearest centimetre?

Triangle ABC is a right triangle. Side AB is 25 cm, and side AC is 33 cm. Using trigonometry, determine the length of BC, to the nearest tenth of a centimetre.

Determine the area of this right triangle to the nearest tenth of a square centimetre.

Fatima earns an annual salary of $98 000. Her total deductions for the year are $25 480.00, $12044.20, $2593.80, and $858.22 for federal tax, provincial tax, CPP, and EI, respectively. What percent of Fatima’s gross pay does she bring home each year?

Carlo receives a pay stub from his job as a athletic trainer. He is paid weekly.

Earnings Statement
Employee Name: Smith, Carlo
Occupation: Labratory Assistant
Period End Date: March 20
Cheque Number: 1311

Earnings					Deductions
Description	Hours	Rate	Amount		Description	Amount
Regular Hours	40	23.75	950.00		Income Tax	516.14
Overtime	10	35.63	356.25		EI	21.46
Overtime	1	47.50	47.50		CPP	49.88
Vacation Pay			54.15
Gross Pay			1407.90		Total Deductions	587.48
					Net Pay	*****

Due to a computer glitch his Net Pay was not shown. What was Carlo’s net pay for the pay period?

What are the total employee deductions for the year based on the T-4 sample below?

T4 – Statement of Remuneration Paid is reproduced with permission of the Minister of Public Works and Government Services Canada, 2018

Jacob is standing at the top of a ladder. The ladder is 3 m long. It is propped against a tree, and makes an angle of 74° with the ground. To check his aim, Jacob is tossing balls into a basket located 4.3 m from the base of the ladder, on the opposite side of the tree.
a) Determine the distance of the base of the ladder from the tree, in metres.
b) If Jacob’s eyes are even with the top of the ladder and he looks down on the bottom of the basket, what is the angle of depression? Answer to the nearest degree.

A cell phone tower is supported by two guy wires, attached on opposite sides of the tower. One guy wire is attached to the top of the base of the tower at point A. The other is attached to the base at point E, at a height of 69 m above the ground.

a) Show that ABC and EBD are similar triangles.
b) Determine the height of the base of the tower, to the nearest metre.
c) Determine the length of each guy-wire, to the nearest metre.

Use the following information to answer the next two questions.

The string on Liam’s kite is 42 m long and makes an angle of 70° with the ground. Liam’s friend, Lucas, is standing directly below the kite.

How far apart are Liam and Lucas now, to the nearest tenth of a metre?

Maddox sells restaurunt equipment. Which of the following would give him the largest gross pay for 1 week based on $59 600 in sales?
Option 1: Commission of 3% on sales
Option 2: Fixed salary of $800/week plus commission of 1.5% on sales

Yuan started to work in Atlin  BC earning a salary of $72 000. Due to the remoteness of the community an additional 11.8% is added to his gross salary. Yuan also earns 4% of his gross salary as vacation pay as part of the contract. Using the information below determine Yuan’s net salary.

2018 British Columbia: Provincial Income Tax Amounts

Income	Tax Rate
$0 – $38 898	5.06%
$38 898.01 – $77 797	7.7%
$77 797.01 – $89 320	10.5%
$89 320.01 – $108 460	12.29%
over $108 460	14.7%

2018 Canada: Federal Income Tax Amounts

Income	Tax Rate
$0 – $45 916	15%
$45 916.01 – $91 831	20.5%
$91 831.01 – $142 353	26%
$142 353.01 – $202 800	29%
over $202 800	33%

Employment Insurance (EI) Premium Rate: 1.66% to a maximum of $858.22

Canada Pension Plan (CPP) Contribution Rate: 4.95% to a maximum of $2593.80

Ivanna completed job interviews with two companies. Company A offered a yearly salary of $91500 with a $5000 bonus for the first year. Company B offered a salary of $92 500. Using the information below determine which position Ivanna should accept.

2018 British Columbia: Provincial Income Tax Amounts

Income	Tax Rate
$0 – $38 898	5.06%
$38 898.01 – $77 797	7.7%
$77 797.01 – $89 320	10.5%
$89 320.01 – $108 460	12.29%
over $108 460	14.7%

2018 Canada: Federal Income Tax Amounts

Income	Tax Rate
$0 – $45 916	15%
$45 916.01 – $91 831	20.5%
$91 831.01 – $142 353	26%
$142 353.01 – $202 800	29%
over $202 800	33%

Employment Insurance (EI) Premium Rate: 1.66% to a maximum of $857.22

Canada Pension Plan (CPP) Contribution Rate: 4.95% to a maximum of $2593.80