Answer to all 40 questions

Use this information to answer questions 1 and 2: Joe is hiking in national park wilderness. His radio transmits and receives signals as far as the horizon. Use the formula: where d is the line-of-sight distance to the horizon in miles and h is height in feet. Joe holds his transmitter at a height of 6 ft. About how far is it from the transmitter to the horizon? 3 MI B. 5 MI C. 7 MI D. 9 MI Joe sets his receiver on the ground. What is the farthest away that a transmitter 4 ft above the ground can be in to reach Joe? 0 MI B. 1.2 MI C. 2.4 MI D. 6 MI Select the response that best completes the statement or answers the question. In a right triangle find the length of the hypotenuse if the two legs are 36 m and 48 m. 5 M B. 2 M C. 50 M D. 60 M What is the length of the third side of a right triangle if one leg is 6 m and the hypotenuse is m? 7 M B. 8 M C. 9 M D. 10 M Using A(0 –2) and B(–6 –9) find the length of rounded to the nearest tenth. 4.6 B. 9.2 C. 9.3 D. 4.7 Find the midpoint of if A(8 11) and B(–5 2). (7 3) B. (9 13) C. (2 7) D. (1.5 6.5) What is the length of in this diagram? (Both triangles are right triangles.) 4 B. 32 C. 28 D. 24 Is a triangle with sides 24ft. 32ft. and 42ft. a right triangle? YES B. NO What is x to the nearest tenth in this 45°-45°-90° triangle? 8.7 B. 8 C. 5.7 D. 2 In a 30°-60°-90° triangle the length of the longer leg is 10. To the nearest tenth what is the length of the hypotenuse? 5.0 B. 6.7 C. 11.6 D. 17.3 How high on a wall will a 12-ft ladder reach if the base of the ladder is 3 ft from the wall? 4.0 FT. B. 10.0 FT. C. 11.6 FT. D. 12 FT. How high on a wall will a 12-ft ladder reach if the ladder forms a 60° angle with the ground? 10.4 FT. B. 8.0 FT. C. 6.9 FT. D. 6.0 FT. If a ramp has an angle of elevation of 19° and a length of 35 ft what is the height in inches of the ramp at its high end? 11 IN. B. 12 IN. C. 137 IN. D. 420 IN. A radio transmitting tower casts a shadow that extends 344 feet from the base of the tower. If a line connecting the sun the top of the tower and the end of the shadow forms an angle of depression of 16° approximately how high is the tower? 344 FT. B. 99 FT. C. 12008 FT. D. 1248 FT. Which of the following is the best estimate of ? 6 B. 7 C. 8 D. 9 Which of the following is the best estimate of ? 9 B. 10 C. 11 D. 12 Which of the following is a rational number? B. 0.93993… C. D. 3.474477… Which of the following is an irrational number? 743743 B. C. 0.2323 D. 0.151155… Which of the following could be the lengths of the sides of a right triangle? 2 6 B. 5 12 13 C. 36 64 100 D. 7 8 11 Which of the following could be the lengths of the sides of a 30°-60°-90° triangle? 3 3 B. 6 23 C. 9 18 D. 5 Find sin 28° to four decimal places. 0.4695 B. 0.4848 C. 0.8829 D. 0.5317 A right triangle has legs of lengths 7 m and 9 m. Which of the following is the best estimate of the length of the hypotenuse? 10 M B. 11 M C. 12 M D. 13 M Simplify this square root: –40 B. 8 C. 9 D. –9 Estimate this square root to the nearest integer: 5 B. 6 C. 7 D. 8 Identify this number as rational or irrational: RATIONAL B. IRRATIONAL In this right triangle what is the missing length of x to the nearest tenth? 4 M B. 7.5 M C. 56 M D. 8.5 M What is the distance between these two points (–8 –9) (1 2) rounded to the nearest tenth? 49.2 B. 14.2 C. 7.1 D. 10.9 Find the midpoint between these two points: M(9 –4) and P(2 8). (12 –7) B. (6 5) C. (5.5 2) D. (5 2.5) Find the missing length of the hypotenuse in this right triangle. 9 M B. 4.5 M C. 16 M D. 18 M What is the value of tan 29°rounded to four decimal places? 0.5543 B. 0.4848 C. 0.5540 D. 0.8746 Estimate to the nearest integer: 3 B. 8 C. 6 D. 7 Simplify the square root: B. C. 2.25 D. 5 A rectangular park measures 300 ft by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. What is the length of the sidewalk? 700 FT. B. 50 FT. C. 1200 FT. D. 500 FT. Find the distance (or length of the segment) between the two points: G(4 7) and H(-2 -3). B. C. D. Find the midpoint between these two points: G(4 7) and H(-2 -3). (1 2) B. (3 5) C. (6.5 −2.5) D. (−1 −2) One leg of a 45°-45°-90° right triangle measures 14 cm. What is the perimeter? 56 CM B. 14 CM C. 28 + 14 CM D. 42 CM A surveyor standing 2277 ft from the base of a building measured a 31° angle to the topmost point. To the nearest ft how tall is the building? 74 FT. B. 1952 FT. C. 3789 FT. D. 1368 FT. Find the value of tan 8°. Round to four decimal places. 82.8750 B. 0.9923 C. 0.1405 D. 0.1392 Karl is standing 80 ft from the base of a tree. He sees the top of the tree from an angle of elevation of 42°. His eye is 4.5 feet off the ground. How tall is the tree? 72 FT. B. 77 FT. C. 58 FT. D. 64 FT. Which of these three lengths will form a right triangle? 10 15 20 B. 3 4 6 C. 7 11 12 D. 20 21 29 Requirements: Short explanation and then answer

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