Sine and Cosine Functions

Theme: Sine and Cosine Functions...

A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child’s eyes and his mothers eyes is 22 degrees. If the distance between their eyes is 32 feet, how far is the child standing from his apartment building? Round to the nearest foot.

A worker is hired for $80 a day on the condition that if business is slow, the worker will only receive half pay. At the end of 20 days, the worker receives $1,320. On how many days was business slow?

A ladder 3m long leans against a wall. It reaches 2m up the wall. What angle does the ladder make with the ground?

How do I find the missing angle in a kite?

Two planes leave the airport at the same time. In one hour the plane that has flown north has traveled 400 miles. The plane that has flown southwest has traveled 250 miles. How far apart are the planes? LAW OF COSINES GEOMETRY

Solve the equation:sin (x + 80°) = 0.6for -180° < x 180°Ans - x = –86.26° or 126.26°

I have a Triangle and I need to find the side BC?

How long does it take the ferris wheel to make one full rotation?h(t)=9sin(20(t-pi/2))+12, h in metres and t in seconds

In a triangle, the sides measure 3,5, and 7 what is the measure, in degrees of the largest angle?

What is the amplitude of y=1/2 sin2x

You hate it when rabbits run into your yard and eat your garden. to prevent this you can rent a wolf to scare the rabbits at Wolf em up they will devlier a live wolf to door for 17.50 and you can keep the liely fellow for 2.25 per day. At fangs r us they will deliver a wolf for 24.25 and you can keep it for 1.50 per day. ( at both businesses they will prorate the rental fee for partial days. a. on what day number will the number of days rented and the cost of renting a wolf be the same at both busniesses? b. what will the cost be on that day?

A business spends $14,000 to produce a new board game. Each game costs $1.90 to produce and is sold for $9.99. How many games must be sold before the business breaks even? (Round your answer to the nearest whole number. )

Jim decides to start a small nonprofit business of renting out motor scooters to help out his area residents. He puts in his own money and buys 5 motor scooters, each priced at $3,000. He incurs no other costs because he keeps the motor scooters in his own garage. The motor scooters last for 5 years. The number of motor scooters and the probability that they would be rented per month is shown in the table. Number of Scooters 0 1 2 3 4 5 Probability 1/32 5/32 10/32 10/32 5/32 1/32 At what price per month should Jim rent out a scooter in order to break even? A) 50 B)150 C)200 D)250 E)300

A local business was looking to hire a landscaper to work on their property. they narrowed the choices to two companies. flourish landscaping company charges a flat rate of $120 per hour. green thumb landscapers charges $70 per hour plus a $16,000 equipment fee. write a systems of equations representing how much each company charges. determine and state the number of hours that must be at work for the cost of each company to be the same.

Leila and jo are two of the partners in a business. Leila makes $3 in profits for every $4 that jo makes. If jo makes $60 profit on the first item they sell, how much profit does leila make?

A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with the ground?A. 25 degreesB. 45 degreesC. 60 degreesD. 90 degrees

In HIJ∆ determine the measure of H∠ to the nearest degree.

Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit? 15 weeks 13 weeks 12 weeks 14 weeks

solving my trigonometry question sin45°=10x

8 friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. Write a system of equations to describe the situation. Let x represent the number of shirts and y represent the number of caps. Graph the system. What is the solution and what does it represent?

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