Question 1 5 pts John has a rectangular garden. The length is 18 feet, and the width is 10 feet. What is the length of the diagonal? Round to the nearest tenth. Diagonal = _(blank)_ feet Type your numerical answer below. Question 2 5 pts Use the information to nd the length of segment CA. image not drawn to scale. segment CA = _ Type your numerical answer below. Question 3 5 pts Determine whether a triangle with the given side lengths is a right triangle. [ Choose ] 13' 15' 18 [ Choose ] [ Choose ] [ Choose ] Question 4 5 pts If the lengths of the legs of a right triangle are 64 inches and 120 inches, what is the length of the hypotenuse? _(blank)_ inches Type your numerical answer below. Question 5 5 pts In the figure below, there are three right triangles. Complete the following statement. A PMN ~ _(blank)_ ~ _(blank)_ M P Select TWO correct answers. O AMPN O A NOM O A MOP O AMON O A POM Question 6 5 pts Find the geometric mean between 32 and 45. If necessary, round to the nearest tenth. 38.5 O 8.7 O 37.9 O 26.8Question 7 5 pts Find the exact value of csc 0, where 0 is the angle shown. Simplify. b 15 B 9 csc 0 = O csc 0 = O csc 0 = O csc 0 = Question 8 5 pts Which ratio represents the cosecant of angle B in the right triangle below? A 20 B 12 O O W / UT A / W W/ A A UT O OIn right triangle ABC shown below, what is the value of sec B? A Question 10 5 pts In right triangle ABC, mLC =90. If cosA= 5 13 , which function also equals - ? 13 13 5 B 12 O sin B O COs A O tan B O sin A Question 11 5 pts In right triangle GHI, m ZI = 90 and cos G = 4v 11 What is sin H? 3 0 3V11 4 O W / D 0 4V 11 3 O - / WQuestion 12 5 pts In the figure below, A BCA ~ A STR. Find cos T, sin T, and tan T. Round your answers to the nearest hundredth. 15.7 18.3 R C 24.1 B T sin T = [ Choose ] 1.15 0.76 COS T = 0.65 0.68 1.17 tan T = 1.34Question 13 5 pts In the figure below, A BCA ~ A STR. Find cos B, sin B, and tan B. Round your answers to the nearest hundredth. un A 26.1 31.3 B 17.2 T sin B = [ Choose ] 0.63 0.55 COS B = 1.52 1.20 0.83 tan B = 0.66 0.89 1.82Question 14 5 pts Solve for a. Round your answer to the nearest tenth. A 15 - o C a B a = _(b|ank)_ Type your numerical answer below. Question 15 5 pts Find all of the unknown side lengths and angle measures for the given triangle. Round your answers to the nearest tenth when necessary. A 37 b I B C 0! angle B = \\I [Choose] 48 41.1 a = 27.5 33.3 24.8 b : 55.3 132 Question 16 5 pts Find all of the unknown side lengths and angle measures for the given triangle. Round your answers to the nearest tenth when necessary. A c b I B C 12 angle A = J [Choose] 13.7 119 b = 21.6 10.4 61 C = 6.7 Question 17 5 pts A ladder leans against the side of the a house. The ladder is 17 feet long and forms an angle of elevation of 72' when leaned against the house. What is the height where the ladder meets the side of the house? Round your answer to the nearest tenth. m height = _(b|ank)_ feet Type your numerical answer below. Question 18 5 pts Find x. Round your answer to the nearest tenth of a degree. A 27 B C 16 Type your numerical answer (without units) below. Question 19 5 pts Two people are looking at the top of a totem pole, which is 55 feet tall. When the two people are looking at the top of the totem pool they are exactly 150 feet apart. The person closest to the totem pole has an angle of elevation to the top of the totem pool of 22", as shown. i; 4 " II. '5 . II\" I. What is the value of x, rounded to the nearest hundredth? x = _(blank)_ degrees Type your numerical answer below. Question 20 5 pts From the top of an apartment building, the angle of depression to a car parked on the street below is 32'. The car is parked 80 feet from the base of the building. Find the height of the building to the nearest whole number of feet. height = _(b|ank)_ feet Type your numerical answer below