Show work on all free response. QUESTION 1 1. is the hypotenuse of the right triangle below. True Fals e 2 points QUESTION 2 1. Identify the leg(s) of the right triangle below. and and and 2 points QUESTION 3 1. Identify the legs in the right triangle below. 3 points QUESTION 4 1. You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent. The slanted sides are 5 feet long and the bottom of the house is 6 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is? 9 ft 4 ft 16 ft 4.5 ft 2 points 1. QUESTION 5 A suitcase measures 36 inches long and 24 inches high. What is the diagonal length of the suitcase? 43.2 in 32.3 in 12.8 in 29.3 in 2 points QUESTION 6 1. Find the length of 3 points QUESTION 7 1. In the triangle below, what ratio is sin ? 2 points QUESTION 8 1. In the triangle below, determine the value of c. 2.5 11. 5 9.6 2.3 2 points QUESTION 9 1. In the triangle below, determine the measure of side a. 3 points QUESTION 10 1. In the triangle below, what ratio is cos P? 2 points QUESTION 11 1. In the triangle below, determine the value of c. 37. 3 34. 1 54. 7 74. 8 2 points QUESTION 12 1. In the triangle below, what ratio is cos ? 3 points QUESTION 13 1. In the triangle below, determine the value of c. 2. 5 1 1. 9 2. 3 2 points QUESTION 14 1. In the triangle below, what ratio is tan ? 2 points QUESTION 15 1. In the triangle below, determine the value of a. 3 points QUESTION 16 1. In the triangle below, the csc X is True Fals e 2 points QUESTION 17 1. In the triangle below, what ratio represents csc Y? 2 points QUESTION 18 1. In the triangle below, what ratio represents csc ? 3 points QUESTION 19 1. In the triangle below, what ratio represents sec Y? 2 points 1. QUESTION 20 Secant is the reciprocal of which other ratio? Sine Cosine Cotange nt Cosecan t 2 points QUESTION 21 1. Complete the statement: Cosine is the reciprocal of the ___________ ratio. 3 points QUESTION 22 1. In the triangle below, what ratio represents cot ? 2 points QUESTION 23 1. In the triangle below, the cot is True Fals e 2 points QUESTION 24 1. Complete the statement: Cosecant is the reciprocal of the ___________ ratio 3 points QUESTION 25 1. Your parents surprise you with a hot air balloon ride above the city. From a hot air balloon, the angle between a radio antenna straight below and the base of your house is 70, as shown below. If the height of the balloon is 5 miles, what is the distance between the radio antenna and your house? 23.1 miles 4.69 miles 1.7 miles 13.7 miles 2 points QUESTION 26 1. If the height of the building is 100 feet and the sun makes a 50 degree angle with the ground as shown in the image below, what is the distance from the top of the building to the tip of the shadow? 75.4 feet 130.5 feet 76.6 feet 331.3 feet 2 points QUESTION 27 1. The angle of elevation of a ladder leaning against a wall is 45. If the distance from the base of the ladder to the wall is 12 feet, how long is the ladder? 8.49 feet 16.97 feet 15.87 feet 29.8 feet 2 points QUESTION 28 1. The length of the one side of a square is 24 cm. Find the length of the diagonal. 3 points QUESTION 29 1. What is the y-value of sin(x) when x = 180? 0 -1 2 points 1. QUESTION 30 Which of the following graphs is f(x) = sin(x)? 2 points 1. QUESTION 31 What is the y-value of sin(x) when x= -360? 3 points 1. QUESTION 32 For what x-value(s) does cos(x) = 1? -360 0 360 all of the above 2 points QUESTION 33 1. What is the domain and range of f(x) = cos(x)? The domain is all real numbers and the range is The domain is and the range is all real numbers. The domain is all real numbers and the range is The domain is all real numbers and the range is 2 points 1. QUESTION 34 For what x-value(s) does cos(x) = 0? 3 points QUESTION 35 1. The following is the graph of f(x) = tan(x). True Fals e 2 points QUESTION 36 1. The y-value of tan(x) when x = -90 and x = 90 is undefined. True Fals e 2 points 1. QUESTION 37 What is the y-value for f(x) = tan(x) when x = -45? 3 points QUESTION 38 1. Find the 65.5 99.9 65.4 35.4 2 points QUESTION 39 1. Write an equation that could be used to find the value of y. 2 points QUESTION 40 1. Find the 3 points QUESTION 41 1. Write an equation that could be used to find the value of b. 382 = 22 + 32 - 2(2)(3) (cos b) b2 = 22 + 32 - 2(2)(3)(cos 38) 22 = b2 + 32 - 2(b)(3)(cos 38) 32 = 22 + b2 - 2(2)(b)(cos 38) 2 points QUESTION 42 1. Write an equation that could be used to find the 162 = 142 R) 102 = 142 (cos R) 142 = 162 (cos R) 162 = 142 (cos R) + 102 - 2(5)(6)(cos + 162 - 2(14)(16) + 102 - 2(16)(10) + 102 - 2(14)(10) 2 points QUESTION 43 1. Find