Geometry - Help is Appreciated!
a. Determine the distance between the two cliffs, d. Hint: draw the triangle you will use with its dimensions. Round to one decimal place. (2 marks) b. Determine the height of the cliff Claude is currently on(height f). Round to one decimal place. (2 marks) c, Determine the height of the cliff Claude wants to climb next weekend (height e + 1'). Round to one decimal place. (2 marks) d. If Claude needs 15ft of extra rope for his climb, how much total rope should he bring next weekend. Round to one decimal place. Hint 15ft added to the total height of the cliff. Edit View Insert Format Tools Table ilZptV Paragraphv ' B I U Av v Tzv Question 12 7 pts For the following question use the insert math equation button (V?) to show all of your work in order to receive full marks. It might help to explain your steps as you go. Clause is climbing a cliff. He has has had so much fun climbing to the top of this cliff that he wants to nd another challenge for next weekend. He looks across the canyon and notices a cliff that is not only more challenging, but taller. To prepare for next weekend, he needs to determine the height of the new cliff so that he knows how much rope to bring. Claude measures the angle of elevation to be 3 and the angle of depression to be 72". He is unsure how far apart the cliffs are, but he notices a marker on the wall directly across from him. ! Marker He then moves 50ft along the cliff edge and using a transit (a surveying instrument used to measure horizontal and vertical angles) determines the angle to the marker to be 43. The following diagram puts all three triangles together. Question 11 3 pts An airplane is 1500ft in the air, 2 miles north and 6 miles west of where it took off. a. Determine the horizontal distance, h, the plane is from its point of take-off. Round to one decimal place and include units. ' b. A person on the ground from the point of take off looks at the plane through a clinometer (a tool used to determine elevation). What is its angle of elevation, A? Round to one decimal place. Hint: to convert feet to miles: 1 mi= 5280 ft. c. What is the airplane's straight-line distance, d, in miles, to the takeoff point? Question 10 4 pts Using the diagram above, determine the following values: Record your answer to one decimal place. Include units. 2. Angle A = E . Record your answer to the nearest whole number. 4. Side d= @- Record your answer to one decimal place. Include units. Record your answer to one decimal place. Include units. D Question 9 1 pts Find the value of side p to one decimal place. Include units. 750 650 24 ft D Question 10 4 ptsQuestion 8 7 pts An oil pipeline is built to avoid a natural rock formation near the mountains. Find the total length of the pipeline. A 15- i! 5 Use the insert math equation button (#5) to show all of your work in order to receive full marks. it might help to explain your steps as you go. Hint: 2 marks for each segment and 1 mark for your total length. Question 7 2 pts Solve for the unknown variables. Round to the nearest tenth of a unit. Include units. Question 8 7 pts Question 5 1 pts The diagram below shows a ramp that is attached to a moving truck. The ramp is 8ft long and the truck box is 5ft off the ground. It 5!: To the nearest degree, determine the angle that the ramp makes with the ground. Question 6 1 pts To rebuild a bridge that was washed out by a ood, a surveyor needs to determine the width of the river. She has measured the distance from the start of the bridge to where she is standing to be 200 m. She sets up her transit and measures the angle to the point across the river where the bridge will end as 24", as represented by the diagram below. Determine the width of the river to the nearest meter. Hint: draw an image to help you determine a right angle triangle. Record your answer to the nearest whole number. Include units. D Question 4 2 pts Describe at least two ways you could solve for the missing side, x, in the following triangle. X 12 ft 18 ft 510 Edit View Insert Format Tools Table 12pt \\ Paragraph BI U A &V TV : ::D Question 3 1 pts Find the value of side x to one decimal place. a. 50 b. 31 c. 49 d. 59 5 35v! question 1 2 pts Fill in the following statements with the best word or term. 1. All three angles in a right angle triangle add up to I: . 2. When two or more right triangles are used to solve a problem, they will always have a 3. The angle of elevation is found C] the horizontal. 4. The angle of depression is found the horizontal. Question 2 1 pts Find the value of side x to one decimal place. Record your answer to one decimal place. Include units. ' I 13.2 In
