Name: 

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

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

A wheelchair ramp is being built for the entrance to a school. If the ramp makes an angle of 4° with the ground and has a horizontal length of 7 m, determine the height of the ramp, to the nearest tenth of a metre.

Choose the correct formula for the cosine ratio of .

In , AC = 6 cm and BC = 15 cm. Determine the cosine ratio of A, rounded to the nearest thousandth.

What is the sine ratio of ?

In , GS = 63 cm and sin D = 0.88. Determine the length of DG, to the nearest centimetre.

In , LX = 5 cm, , and . Determine the length of WX to the nearest centimetre.

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?

Catherine works as a realtor and earns 3.00% commission on a home sale of $788 983. How much money did she make on the sale?

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?

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.

Brian mows lawns in the neighborhood and earns $19.00 per lawn. This week he mows 4 lawns and also receives $120 during a birthday party. Brian decides to use a maximum of 40% of his income as spending money. What is the maximum amount of spending money he has for the week?

The Canada Pension Plan (CPP) rate is 4.95% of a person’s gross pay up to a maximum of $2593.80. How much will a person pay in CPP payments with an annual salary of $38 000?

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?

Cai earns an annual salary of $73 000. Her total deductions for the year are $14 965.00, $5621.00, $2593.80, and $858.22 for federal tax, provincial tax, CPP, and EI, respectively each year. What were Cai’s total deductions 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 was Hunter gross pay for 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?

A flight of stairs has a ratio of vertical distance to horizontal distance of 3 to 5. What angle does the flight of stairs make with the ground, to the nearest degree?

A ski jumper begins at the top of a ski jump hill that is 62 m high. The hill makes an angle of 32° with the horizontal. Determine the length of the hill, to the nearest metre.

Owen decides to go parasailing while on vacation. The flyer advertises that the maximum height reached during the trip will be 51 m. If the parasailing cable is 92 m long, what angle will the cable make with the horizontal when Owen reaches the maximum height? Express your answer to the nearest degree.

Quon is a chef. His regular pay is $21.35/h. If he works on a holiday, he receives a shift premium of double time for those hours. Calculate his gross pay for the following week.

Sunday	Monday - Holiday	Tuesday	Wednesday	Thursday	Friday	Saturday
8 h	6 h	Day Off	Day Off	9 h	5 h	10 h

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?

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

Federal Tax: $18 655.00
BC Tax: $11183.90
Canada Pension Plan: $2593.80
Employment Insurance: $858.22

If her deductions represent 36.6% of her pay, what was Fatima’s gross pay for the year, to the nearest thousand dollars?

A submarine is travelling parallel to the surface of the ocean at a depth of 507 m. It begins a constant ascent in order to reach the surface after travelling a distance of 4070 m. The ascent takes 43 min.
a) What angle of ascent, or angle of elevation, would the submarine need to make to reach the surface in 4070 m? Answer to the nearest degree.
b) How far did the submarine travel horizontally during its ascent to the surface? Answer to the nearest metre.
c) Determine the horizontal speed of the submarine during its ascent. Give your answer to the nearest metre per second.

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.

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?

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.

In the restaurant industry servers are often required to pay into a tip pool. A tip pool is an amount or percentage of a server's tips that the server shares with other restaurant staff.

Fatima has just been hired by a local restaurant. She is paid minimum wage of $11.35/h plus tips. In addition, she pays 4.5% into the tipping pool. How much does Fatima gross at the end of the night?

In the restaurant industry servers are often required to pay a tip. A tip out is an amount or percentage of a server's tips that the server shares, either voluntarily or as mandated in a tip sharing or tip pooling agreement. Tips are shared with other employees such as bussers, bartenders, back waiters and host/hostesses whose job duties indirectly assist the server.

Emma has just been hired by a local restaurant. She is paid minimum wage of $11.35/h plus tips. In addition, she pays a tip out of  6.75% based on her gross sales for the day. Of this percentage 1% goes to the host/hostess, 2.25% to the bartender, 1% to the bussers and 2.5% to the kitchen staff. If Emma works a 8-hour shift and earns 11.25% on $1025.00 in gross sales, how much does she pay in total to the host/hostess, bartender, bussers and kitchen staff?