I’m working on a algebra practice test / quiz and need an explanation to help me understand better.Questions 1-2Use 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.Question1.Joe holds his transmitter at a height of 6 ft. About how far is it from the transmitter to the horizon?
Answersundefined3 miB.5 miC.7 miD.9 miQuestion2.Joe sets his receiver on the ground.
What is the farthest away that a transmitter 4 ft above the ground can be in order to reach Joe?Answersundefined0 miB.1.2 miC.2.4 miD.6 miQuestions 3-38Select the response that best completes the statement or answers the question.Question3.In a right triangle, find the length of the hypotenuse if the two legs are 36 m and 48 m.Answersundefined5 mB.2 mC.50 mD.60 mQuestion4.What is the length of the third side of a right triangle if one leg is 6 m and the hypotenuse is m?Answersundefined7 mB.8 mC.9 mD.10 mQuestion5.Using A(0, –2) and B(–6, –9), find the length of rounded to the nearest tenth.Answersundefined4.6B.9.2C.9.3D.4.7Question6.Find the midpoint of if A(8, 11) and B(–5, 2).Answersundefined(7, 3)B.(9, 13)C.(2, 7)D.(1.5, 6.5)Question7.What is the length of in this diagram? (Both triangles are right triangles.)Answersundefined4B.32C.28D.24Question8.
Is a triangle with sides, 24ft., 32ft., and 42ft. a right triangle?
AnswersundefinedyesB.noQuestion9.What is x, to the nearest tenth, in this 45°-45°-90° triangle?
Answersundefined8.7B.8C.5.7D.2Question10.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?
Answersundefined5.0B.6.7C.11.6D.17.3Question11.How high on a wall will a 12-ft ladder reach if the base of the ladder is 3 ft from the wall?Answersundefined4.0 ft.B.10.0 ft.C.11.6 ft.D.12 ft.Question12.How high on a wall will a 12-ft ladder reach if the ladder forms a 60° angle with the ground?Answersundefined10.4 ft.B.8.0 ft.C.6.9 ft.D.6.0 ft.Question13.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?Answersundefined11 in.B.12 in.C.137 in.D.420 in.Question14.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?
Answersundefined344 ft.B.99 ft.C.1,2008 ft.D.1,248 ft.Question15.Which of the following is the best estimate of ?
Answersundefined6B.7C.8D.9Question16.Which of the following is the best estimate of ?
Answersundefined9B.10C.11D.12Question17.Which of the following is a rational number?
AnswersundefinedB.0.93993…C.D.3.474477…Question18.Which of the following is an irrational number?
Answersundefined743,743B.C.0.2323D.0.151155…Question19.Which of the following could be the lengths of the sides of a right triangle?Answersundefined2, 6, B.5, 12, 13C.36, 64, 100D.7, 8, 11Question20.Which of the following could be the lengths of the sides of a 30°-60°-90° triangle?Answersundefined3, 3, B.6, , 23C.9, , 18D.5, , Question21.Find sin 28° to four decimal places.Answersundefined0.4695B.0.4848C.0.8829D.0.5317Question22.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?Answersundefined10 mB.11 mC.12 mD.13 mQuestion23.Simplify this square root: Answersundefined–40B.8C.9D.–9Question24.Estimate this square root to the nearest integer: Answersundefined5B.6C.7D.8Question25.Identify this number as rational or irrational: AnswersundefinedrationalB.irrationalQuestion26.In this right triangle, what is the missing length of x to the nearest tenth?Answersundefined4 mB.7.5 mC.56 mD.8.5 mQuestion27.What is the distance between these two points, (–8, –9), (1, 2), rounded to the nearest tenth?Answersundefined49.2B.14.2C.7.1D.10.9Question28.Find the midpoint between these two points: M(9, –4) and P(2, 8).Answersundefined(12, –7)B.(6, 5)C.(5.5, 2)D.(5, 2.5)Question29.Find the missing length of the hypotenuse in this right triangle.Answersundefined9 mB.4.5 mC.16 mD.18 mQuestion30.What is the value of tan 29°rounded to four decimal places?Answersundefined0.5543B.0.4848C.0.5540D.0.8746Question31.Estimate to the nearest integer: Answersundefined3B.8C.6D.7Question32.Simplify the square root: AnswersundefinedB.C.2.25D.5Question33.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?Answersundefined700 ft.B.50 ft.C.1200 ft.D.500 ft.Question34.Find the distance (or length of the segment) between the two points: G(4, 7) and H(-2, -3).AnswersundefinedB.C.D.Question35.Find the midpoint between these two points: G(4, 7) and H(-2, -3).Answersundefined(1, 2)B.(3, 5)C.(6.5, −2.5)D.(−1, −2)Question36.One leg of a 45°-45°-90° right triangle measures 14 cm. What is the perimeter?Answersundefined 56 cmB.14 cmC. 28 + 14 cmD. 42 cmQuestion37.A surveyor standing 2,277 ft from the base of a building measured a 31° angle to the topmost point. To the nearest ft, how tall is the building?Answersundefined74 ft.B.1952 ft.C.3789 ft.D.1368 ft.Question38.Find the value of tan 8°. Round to four decimal places.Answersundefined82.8750B.0.9923C.0.1405D.0.1392Question39.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?Answersundefined72 ft.B.77 ft.C.58 ft.D.64 ft.Question40.Which of these three lengths will form a right triangle?Answersundefined10, 15, 20B.3, 4, 6C.7, 11, 12D.20, 21, 29
Requirements: Short explanation and then answer
