Misc. Functions Interest Oblique Triangles Right Triangles

Right Triangles – 10 Points What is the length of the side designate by an x? 11 cm 46° x Answer: x=8

Right Triangles– 20 Points A lamppost is located 316 feet from a building. the angle of elevation from the base of the lamppost to the top of the building is 24°. Approximately how tall is the building? Answer: 141 feet

Right Triangles – 30 Points From a point 50 feet from the base of a tree, Bailey looks up at a 31° angle to the top of the tree. He walks 20 feet closer to the tree. At approximately what angle must Bailey now look up to see the top of the tree? Answer: 45°

Right Triangles – 40 Points A water tower is located 350 feet from a building. From a window in the building, it is observed that the angle of elevation to the top of the tower is 39° and the angle of depression to the bottom of the tower is 27°. Approximately how tall is the water tower? Answer: 462 feet

Oblique Triangles – 10 Points Triangle ABC is an oblique triangle with a=13 inches, b=24 inches, and B = 78°. What is the measure of angle A? Answer: 32°

Oblique Triangles – 20 Points Two sides of a triangle measure 34 ft and 37 ft. The included angle is 61°. Approximately how long is the third side of the triangle? Answer: 36 feet

Oblique Triangles – 30 Points Amanda is standing 30 meters away from Morgan. Amanda’s kite is located in the sky at a point between where Amanda and Morgan are standing. Amanda is looking up at the kite at an angle of elevation of 32°. Morgan is looking up at the kite at an angle of elevation of 66°. Approximately how far is the kite from Amanda? Answer: 28 meters

Oblique Triangles – 40 Points Suppose for each foot of land along the edge of your property, the annual tax is $15 per foot. The diagram below shows your property. About how much is the annual tax for your property? 70° 36 ft 25 ft Answer: $1457

Interest – 10 Points On the day of a child’s birth, a deposit of $10,000 is made in a trust fund that pays 8.75% interest, compounded continuously. What is the balance in this account on the child’s 25th birthday? Answer: $89,129

Interest – 20 Points Kim invested $750 into an account that earns 7% interest compounded continuously. Approximately how long will it take for Kim’s investment to be valued at $5,000? Answer: 27 years

Interest – 30 Points Brittany is going to invest $10,000 compounded continuously. If she would like to have $11,052 after 2 years, what interest rate should she get? Answer: 5%

Interest – 40 Points Savannah and Lina each have $250 to invest. Savannah’s investments earn a rate of 11.5%, and Lina’s investments earn a rate of 8.5%. Approximately how much more money will Savannah have than Lina when Lina’s investments are worth $600? (Assume continuous compounding.) Answer: $217

Functions – 10 Points Answer: - 4

Functions – 20 Points

Functions – 30 Points

Functions – 40 Points Given the table below: What function fits the data? x y

Miscellaneous– 10 Points Answer: amplitude is shorter and period is longer

Miscellaneous– 20 Points Answer: [-1, 1]

Miscellaneous– 30 Points

Miscellaneous– 40 Points Answer: {-1}