Name: 

If , determine the measure of Z, to the nearest degree.

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

In the triangle, RS = 8 cm and tan = 0.444. What is the length of TS?

In , , , and . Determine the length of TZ, to the nearest 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.

Evaluate cos 26°, to four decimal places.

Determine the measure of M, to the nearest degree.

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?

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

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?

A lifeguard earns $533.00 for 26 h of work. How much would the gross pay be for a 5-h shift?

Fatima is a sales consultant for a mail-order jewelry company and earns 10% of her sales. If she sells more than $2000 in a week, she earns a $180 bonus. Last week, Fatima sold the following amounts each day.

Monday	$553.00
Tuesday	$507.00
Wednesday	$622.00
Thursday	$785.00
Friday	$293.00

What was Fatima’s gross pay for last week?

A lifeguard earns $20.50/h and works 5.75 h. The position is unionized with 1.75% deducted for union dues. How much money would the lifeguard pay in union dues each working day?

The Canada Pension Plan (CPP) rate is 4.95% of a person’s gross pay up to a maximum of $2593.80 per year. How much did Francine make if her CPP payments for the year are $2326.50?

Mirka checks her final pay stub for the year and the following deduction totals are shown:

Federal Tax: $5850.00
BC Tax: $3003.00
Canada Pension Plan: $1930.50
Employment Insurance: $647.40

If her deductions represent 29.3% of her gross pay, what was Mirka’s gross pay for the year, to the nearest dollar?

Jia works at a local restaurant earning $12.00/h. She is paid time and a half for any hours above a 40-h work week. Jia works the following hours and earns the following in tips.

Day	Hours Worked	Tips
Monday	6	$33
Tuesday	9	$8
Wednesday	4.5	$11
Thursday	8.5	$22
Friday	9.5	$84
Saturday	9	$41
Sunday	0	$0

What is her gross pay for the week?

Dariol works as a desk clerk earning $19.70/h. She is paid regular time for the first 40 hours, time-and--half for the 10 h and double time for any additional hours. What is Dariol’s gross pay if she works 71 h?

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	*****

How much money did Hunter earn at double time?

What percentage of Hunter’s gross pay was deducted from his take home during the pay period?

In ABC, AB is 13 cm, AC is 36 cm, and B is 90°. Determine the measure of C, to the nearest degree.

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

Explain why the primary trigonometric ratios depend only on the given angle and not the size of the legs and hypotenuse of a right triangle.

Erek works as a data entry clerk earning $17.90/h. He is paid regular time for the first 40 hours, time-and-a-half for 10 hours and double time for any additional hours. What is Erek’s gross pay if his works 61 h?

Oliver earns an annual salary of $76 000. His total deductions for the year are $15 580.00, $5852.00, $2593.80, and $858.22 for federal tax, provincial tax, CPP, and EI, respectively. What is Oliver’s net pay for the year?

If a province used the tax table below, how much provincial tax would be owed on a taxable income of $47 435

Taxable Income		Tax Rate
$0	$12 233	5.1%
$12 233.01	$37 255	7.4%
$37 255.01	$57 803	11.4%
$57 803.01	$88 433	13.6%
Over $88 433		17.4%

A rock face is 70 m from the base of a California redwood tree. The angle of elevation from the top of the rock face to the top of the tree is 32°. The angle of depression to the bottom of the tree is 20°.
a) Determine the height of the rock face, to the nearest tenth of a metre.
b) Determine the height of the tree, to the nearest tenth of a metre.

Jayden is sitting in a tree, so that his eyes are 4.6 m above the ground. When he looks down at an angle of depression of 74°, he can see his cat sitting in the yard.
a) Draw a diagram of the situation.
b) Determine the horizontal distance, to the nearest tenth of a metre, from the base of the tree to Jayden’s cat.

Amelia is participating in a water-skiing competition. She goes over a water-ski ramp that is 6.78 m long. When she leaves the ramp, she is 1.52 m above the surface of the water.
a) What is the horizontal length of the ramp along the surface of the water, to the nearest tenth of a metre?
b) Determine the angle of elevation of the ramp, to the nearest degree.

Jia works as a truck driver earning $17.30/h. She is paid regular time for the first 40 hours, time and a half for the 10 hours and double time for any additional hours. Jia is offered a new position which has a salary of $35 000.00 per year. Is it financially beneficial to take the new position? Assume Jia works 46 hours per week for 42 weeks per year in both jobs.

Determine the difference in net pay between a job in British Columbia and the Yukon if both offer a salary of $41 000. Use the information below to calculate the net pay for each province or territory.

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 Yukon: Territorial Income Tax Amounts

Income	Tax Rate
$0 – $45 916	6.4%
$45 916.01 – $91 831	9%
$91 831.01 – $142 353	10.9%
$142 353.01 – $500 000	12.8%
over $500 000	15%

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

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