ANSWER c 6 cos 5x 1 4 7

13 Dimensions of a Mirror A person standing 150 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is 12 while the angle of elevation to the top of the mirror is 11 Find the vertical dimension of the mirror See Figure 16 150 cm

PART A 1 2 3 4 5 6 7 9 10 11 12 MULTIPLE CHOICE What is the radius of a circle with the equation of x2 y 64 a 8 b 16 c 25 d 64 What is the length of the line segment joining A 4 7 and B 16 9 a 13 4 b 180 c 656 d 25 6 What is the optimal value of this quadratic function a 2 b 1 C 2 d 1 What is the greatest common factor for 24m n4 4m n 16m n a 4 b 4m n c 48m n4 d 4mn What is the expression 2x 5 in expanded simplified form a 4x 10x 25 b 4x 20x 25 c 4x 5 What is the vertex of the quadratic relation y 5 x 1 8 a 1 8 b 1 8 c 1 8 d 1 8 e x 1 What are the roots of the quadratic relation y x 5x 14 a x 0 x 24 b x 2 x 7 d x 2 x 7 e x 2 x 7 For the quadratic relation y x 3x 2 what is the y intercept a 1 b 3 c 2 d 0 e 1 and 2 Use the following triangle to answer questions 9 12 D 12cm Sin F is 5 13 a E 5 cm F Cos F is 5 13 a Tan D is a 13 cm 13 b 1 2 5 12 5 12 The degree of LF is a 0 385 b 0 923 12 13 12 c 13 c 12 13 c 2 4 d 2 2 d 1 3 d 1 3 5 d 22 6 e 1322 e c x 5 x 14 13 12 13 e 122 e 67 4 e 128W e 12 e 4m n d 4x 25 1

3 a Dilation of about point M 7 5 M N M 9 8 7 5 N Center to M N 9 8 6 y Center to P O Center to P O Center to 4 a Dilation of about the point 6 5 3 X Y Center to 1 8 3 0 7 Z X Y 771 Center to

A 12m tall flagpole was installed in the park A long cable is tied to the top and secured to the ground The angle the cable makes with the ground is 65 It was unsafe so they had to move it further away so it makes an angle of 50 with the ground How much further away was the cable secured to the ground Provide a detailed diagram with your solution round to one decimal A 5 marks place

Vome Alice At the local garden shop a package of flower seeds costs 5 and trees costs 17 The gardener purchased 500 items and the total cost is 5 968 a Model this situation using a system of equations 4 b How many trees did the gardener purchase 5 C 3 marks K 3 marks The city wants to build a stage in the park The stage needs a ramp The rules say that the angle of elevation for the ramp must be 8 or less and the ramp must be 15m or less in length With these rules what would be the maximum height for the stage Round to I decimal place Provide a detailed diagram T 4 marks

sin 0 11 cos 0 tan 8 csc 8 sec 0 cot 0 values of the six trigonometric functions of the angle 8 shown in the figure 12 13 13 S X X x X 12

A buoy floating in the ocean is bobbing in simple harmonic motion with period 8 seconds and amplitude 4 ft Its displacement from sea level at time t 0 seconds is 0 ft and initially it moves downward Note that downward is the negative direction Give the equation modeling the displacement d as a function of time t d 0 T sin cos

Match each angle in Column I with its reference angle in Column II 45 37 31 83 60 30 Drag each reference angle above to the corresponding angle below Answers 97 211 150 45 780 495

The angle of elevation from a point on the ground to the top of a pyramid is 40 40 The angle of elevation from a point 164 feet farther back to the top of the pyramid is 14 30 Find the height of the pyramid What is the height of the pyramid ft Round to the nearest integer 14 30 164 40 40

12 5 m fire truck ladder is leaning against a wall Find the distance d the ladder oes up the wall above the fire truck if the ladder makes an angle of 27 21 with ne horizontal 12 5 m 27 211 COB Simplify your answer Type an integer or a decimal Round to the nearest hundredth