Math Problem Set 5. Name: Neal Nelson. Show Scored View #1 Points possible: 1. Total attempts: 2

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1 Math Problem Set 5 Show Scored View #1 Points possible: 1. Total attempts: (a) The angle between 0 and 60 that is coterminal with the 69 angle is degrees. (b) The angle between 0 and 60 that is coterminal with the 81 angle is degrees Name: Neal Nelson # Points possible: 1. Total attempts: The angle between 0 and π in radians that is coterminal with the angle 1 π in radians is. 1 π # Points possible: 1. Total attempts: (a) In a circle of radius 5 miles, the length of the arc that subtends a central angle of 1 radians is miles. (b) On a circle of radius 7 feet, what angle would subtend an arc of length 4 feet? 5.74 degrees #4 Points possible: 1. Total attempts: Find the area of the sector of a circle with radius 4 yards formed by a central angle of 145 : square yards Round your answer to two decimal places. 0.5 square yards #5 Points possible: 1. Total attempts: From the information given, find the quadrant in which the terminal point determined by t lies. Input I, II, III, or IV. (a) sin (t) <0 and cos (t) <0, quadrant ; (b) sin (t) >0 and cos (t) <0, quadrant ; (c) sin (t) >0 and cos (t) >0, quadrant ; (d) sin (t) <0 and cos (t) >0, quadrant ; III II I IV #6 Points possible: 1. Total attempts: The point P is on the unit circle. If the y-coordinate of P is, and P is in quadrant II, then #7 Points possible: 1. Total attempts: Without using a calculator, compute the sine and cosine of 0 by using the reference angle. What is the reference angle? degrees. In what quadrant is this angle? (answer 1,,, or 4) sin (0 ) = cos (0 ) = (Type sqrt() for and sqrt() for.) of 10 5/1/14, 7:09 PM of 10 5/1/14, 7:09 PM

2 #8 Points possible: 1. Total attempts: #10 Points possible: 1. Total attempts: Without using a calculator, compute the sine and cosine of 4π by using the reference angle. If θ = 1π, then What is the reference angle? radians. In what quadrant is this angle? (answer 1,,, or 4) sin ( 4π ) = cos ( 4π ) = (Type sqrt() for and sqrt() for.) π 1 #9 Points possible: 1. Total attempts: If θ = 5π 6, then Example: Enter sqrt()/ for. With functions like sqrt, be sure to use function notation (parentheses). sqrt()/ will work, but sqrt/ will not. 1 1 #11 Points possible: 1. Total attempts: If θ = 1π 4, then #1 Points possible: 1. Total attempts: If and θ is in the 4th quadrant, find sin (θ) Give exact values using fractions and the sqrt() function. 5 of 10 5/1/14, 7:09 PM 4 of 10 5/1/14, 7:09 PM

3 #1 Points possible: 1. Total attempts: #15 Points possible: 1. Total attempts: (a) Find an angle θ with 0 < θ < 60 that has the same: Sine as 0 : θ = degrees Cosine as 0 : θ = degrees (b) Find an angle θ with 0 < θ < 60 that has the same: Sine function value as 40 θ = degrees Cosine function value as 40 θ = degrees #14 Points possible: 1. Total attempts: Find the coordinates of a point on a circle with radius 0 corresponding to an angle of 75 Suppose a = and b = 10. Find an exact value or give at least two decimal places: sin(a) = cos(a) = (x,y) = (, ) Round your answers to three decimal places of 10 5/1/14, 7:09 PM 6 of 10 5/1/14, 7:09 PM

4 #16 Points possible: 1. Total attempts: #17 Points possible: 1. Total attempts: Suppose a = 1 and A = 50 degrees. Suppose c = 7 and A = 15 degrees. Find: Find: b = a = c = b = B = degrees B = degrees Give all answers to at least one decimal place. Give angles in degrees Give all answers to at least one decimal place. Give angles in degrees #18 Points possible: 1. Total attempts: A 17-ft ladder leans against a building so that the angle between the ground and the ladder is 8. How high does the ladder reach on the building? ft 16.8 #19 Points possible: 1. Total attempts: The angle of elevation to the top of a Building in New York is found to be degrees from the ground at a distance of miles from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 580 feet Your answer is feet of 10 5/1/14, 7:09 PM 8 of 10 5/1/14, 7:09 PM

5 #0 Points possible: 1. Total attempts: A radio tower is located 00 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 4 and that the angle of depression to the bottom of the tower is. How tall is the tower? # Points possible: 1. Total attempts: Find x correct to decimal places. NOTE: The triangle is NOT drawn to scale feet #1 Points possible: 1. Total attempts: Find x correct to decimal places. NOTE: The triangle is NOT drawn to scale x tan (6 ) = 105 x & tan (6 ) = 105 x 1 & x x 1 = x tan ( ) = 94 x 1 & tan (66 ) = 94 x & x 1 + x = of 10 5/1/14, 7:09 PM 10 of 10 5/1/14, 7:09 PM