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. 79 79 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 7-0.96 #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.) 0 4 1 1 of 10 5/1/14, 7:09 PM of 10 5/1/14, 7:09 PM
#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
#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 150 0 00 10 #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) = 0.9 0.96 (x,y) = (, ) Round your answers to three decimal places..615-9.886 5 of 10 5/1/14, 7:09 PM 6 of 10 5/1/14, 7:09 PM
#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 10.07 15.67 40 Give all answers to at least one decimal place. Give angles in degrees 1.81 6.76 75 #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. 68.8 7 of 10 5/1/14, 7:09 PM 8 of 10 5/1/14, 7:09 PM
#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. 60.91 feet #1 Points possible: 1. Total attempts: Find x correct to decimal places. NOTE: The triangle is NOT drawn to scale. 105 6 6 x 94 66 tan (6 ) = 105 x & tan (6 ) = 105 x 1 & x x 1 = 88.69 x tan ( ) = 94 x 1 & tan (66 ) = 94 x & x 1 + x = 19.8 9 of 10 5/1/14, 7:09 PM 10 of 10 5/1/14, 7:09 PM