From the top of the bridge over the Burlington Canal. Maria looks down at a sailboat...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
From the top of the bridge over the Burlington Canal. Maria looks down at a sailboat at an angle of depression at 15. The bridge is 18 m above the water. Calculate the horizontal distance from the bridge to the sailboat. Hint: This question is similar to question #1.... Draw your sketch first. 0 15 ??? horizontal distance 18 m Problem #7 A rafter makes an angle of 22.5 with the roof joist, as shown. How tall is the board supporting the middle of the roof. How tall is the board supporting the middle of the roof? 22.50 12 ft Project: Lesson 1 Page 10 Problem #3: A wheelchair ramp is needed at the entrance of a restaurant. The ramp is to be 6.10 m long and have a rise of 0.45. Calculate the angle of inclination. 6.10 m long 0.45 m rise ??? angle of inclination Project: Lesson 1 Page 6 Problem #5: A 7.5 m flagpole is 4.6 m away from a pedestrian. What is the angle of elevation from where the pedestrian is standing to the top of the flagpole? 7.6 m angle of elevation ????? 4.6 m Project: Lesson 1 Page 8 Problem #8 From the top of a 200-m high cliff, the angles of depression of two boats on the water are 20 and 25. How far apart are the boats? Hint: This is a three step process. Project: Lesson 1 28 20 200 m cliff Page 11 Angle of Elevation: The angle of elevation (also called the angle of inclination) is the angle that is formed between the horizontal and the sight line form the observer's eye to some object above eye level. For example: Line of Sight Object Horizontal Observer Angle of elevation Angle of Depression: The angle of depression is the angle between the horizontal and the sight line from the observer's eye to a point below the eye level. Project: Lesson 1 Angle of depression Horizontal Observer Line of Sight Object Page 2 Problem #6 A garage floor is made of poured concrete. The length of the garage is 6.7 m and the grade (rise of the floor from front to back) is .09 m. Calculate the angle of inclination. Project: Lesson 1 6.7 m .09 m Page 9 Problem #1: From the top of the Niagara Escarpment, Juan sees a sailboat below at an angle of depression of 40. Juan is approximately 100 m above the car. How far is the sailboat from the base of the escarpment? Round your answer to the nearest metre. 100 m angle of depression 40 777777 40 Project: Lesson 1 Page 4 1 of 11 Project: Lesson 1 Instructions: Complete the following project by writing your full solutions on separate paper. When finished, electronically submit your work into your course dropbox for Lesson 1 Part A Making Decisions Using Trigonometry Carpenters have to calculate the length of lumber support for a roof rafter. Engineers have to determine the angle of elevation or depression when calculating the height of a structure. Pilots use trigonometry to navigate aircraft and to correct for wind effects. Ships' captains do the same for ocean currents. To calculate unknown measurements, these professionals need to decide which trigonometric tool or formula to use. What tools are available?? Pythagorean Theorem: hypotenuse = side1 + side2 Primary Trigonometric Ratios: opposite sin 0 = hypotenuse cos e = adjacent hypotenuse tan e opposite adjacent Project: Lesson 1 Page 1 Problem #2: In construction the pitch of a roof may be given as "7-12" in feet. This means that the maximum height of the roof is 7 ft and the distance from the midpoint of the base of the roof to the outer walls is 12 ft. Calculate the roof's angle of inclination. Round your answer to the nearest degree. Project: Lesson 1 roof slope 7 ft ????? 12 ft angle of elevation Page 5 How do these two angles relate to each other? Since you are working with 2 horizontal lines (which are parallel to each other) and a straight line that connects these two horizontal lines, the angle of depression is equal to the angle of elevation. This relationship can be very useful when solving problems given. Horizontal line Angle of depression Angle of 38 elevation Horizontal line Using these tools Use these tools to solve the following problems. Show your answers in complete steps. Project: Lesson 1 Page 3 From the top of the bridge over the Burlington Canal. Maria looks down at a sailboat at an angle of depression at 15. The bridge is 18 m above the water. Calculate the horizontal distance from the bridge to the sailboat. Hint: This question is similar to question #1.... Draw your sketch first. 0 15 ??? horizontal distance 18 m Problem #7 A rafter makes an angle of 22.5 with the roof joist, as shown. How tall is the board supporting the middle of the roof. How tall is the board supporting the middle of the roof? 22.50 12 ft Project: Lesson 1 Page 10 Problem #3: A wheelchair ramp is needed at the entrance of a restaurant. The ramp is to be 6.10 m long and have a rise of 0.45. Calculate the angle of inclination. 6.10 m long 0.45 m rise ??? angle of inclination Project: Lesson 1 Page 6 Problem #5: A 7.5 m flagpole is 4.6 m away from a pedestrian. What is the angle of elevation from where the pedestrian is standing to the top of the flagpole? 7.6 m angle of elevation ????? 4.6 m Project: Lesson 1 Page 8 Problem #8 From the top of a 200-m high cliff, the angles of depression of two boats on the water are 20 and 25. How far apart are the boats? Hint: This is a three step process. Project: Lesson 1 28 20 200 m cliff Page 11 Angle of Elevation: The angle of elevation (also called the angle of inclination) is the angle that is formed between the horizontal and the sight line form the observer's eye to some object above eye level. For example: Line of Sight Object Horizontal Observer Angle of elevation Angle of Depression: The angle of depression is the angle between the horizontal and the sight line from the observer's eye to a point below the eye level. Project: Lesson 1 Angle of depression Horizontal Observer Line of Sight Object Page 2 Problem #6 A garage floor is made of poured concrete. The length of the garage is 6.7 m and the grade (rise of the floor from front to back) is .09 m. Calculate the angle of inclination. Project: Lesson 1 6.7 m .09 m Page 9 Problem #1: From the top of the Niagara Escarpment, Juan sees a sailboat below at an angle of depression of 40. Juan is approximately 100 m above the car. How far is the sailboat from the base of the escarpment? Round your answer to the nearest metre. 100 m angle of depression 40 777777 40 Project: Lesson 1 Page 4 1 of 11 Project: Lesson 1 Instructions: Complete the following project by writing your full solutions on separate paper. When finished, electronically submit your work into your course dropbox for Lesson 1 Part A Making Decisions Using Trigonometry Carpenters have to calculate the length of lumber support for a roof rafter. Engineers have to determine the angle of elevation or depression when calculating the height of a structure. Pilots use trigonometry to navigate aircraft and to correct for wind effects. Ships' captains do the same for ocean currents. To calculate unknown measurements, these professionals need to decide which trigonometric tool or formula to use. What tools are available?? Pythagorean Theorem: hypotenuse = side1 + side2 Primary Trigonometric Ratios: opposite sin 0 = hypotenuse cos e = adjacent hypotenuse tan e opposite adjacent Project: Lesson 1 Page 1 Problem #2: In construction the pitch of a roof may be given as "7-12" in feet. This means that the maximum height of the roof is 7 ft and the distance from the midpoint of the base of the roof to the outer walls is 12 ft. Calculate the roof's angle of inclination. Round your answer to the nearest degree. Project: Lesson 1 roof slope 7 ft ????? 12 ft angle of elevation Page 5 How do these two angles relate to each other? Since you are working with 2 horizontal lines (which are parallel to each other) and a straight line that connects these two horizontal lines, the angle of depression is equal to the angle of elevation. This relationship can be very useful when solving problems given. Horizontal line Angle of depression Angle of 38 elevation Horizontal line Using these tools Use these tools to solve the following problems. Show your answers in complete steps. Project: Lesson 1 Page 3
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
This research option will allow you to learn about a very common type of two-dimensional motion called projectile motion . In your research, make sure to answer the following questions: Introduction:...
-
Solve the following minimization problem by maximizing the dual problem: Minimize subject to C= 5x + 10x x - x = 1 -X + x = 2 X1, X 0
-
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 10x1 + 7x2 + 12x3 subject to X + x2 + 2x3 2 7 2x1 + x2 + x3 2 4 X1, X2, X3 2 0
-
H. S. Black is noted for developing a negative feedback amplifier in 1927. Often overlooked is the fact that three years earlier he had invented a circuit design technique known as feed forward...
-
We have seen that wear can have detrimental effects on engineering components, tools, dies, etc. Can you visualize situations in which wear could be beneficial? Give some examples.
-
For each program listed below, discuss what market failures might be (or are) used as a partial rationale: a. Automobile safety belt requirements b. Regulations on automobile pollution c. National...
-
1.12 Andreas Delon's Compensation. Andreas Delon is a French citizen who has been offered the position of CEO of LakePharma, a large French pharmaceuticals firm. LakePharma produces high-quality...
-
On January 1, 2008, Crocker Company issued 10-year, $2,000,000 face value, 6% bonds, at par. Each $1,000 bond is convertible into 15 shares of Crocker common stock . Crockers net income in 2008 was...
-
Heather's Hair Salon is a sole proprietorship that has kept the books manually for several years. They have hired you to move them to QuickBooks Online for the year that begins January 1 of the cur...
-
A p-doped wafer (boron concentration of 5 E17/cm^3) that is 200 m thick completely and homogenously absorbs a beam of photons, generating 2E19 excess free electrons (n) per cubic centimetre and per...
-
Environmental and Hazardous Materia (HAZMAT) requirements is the system design parameter that:
-
Choose a topic that captures the attention your interest. The research process will be more intriguing if you are passionate about your issue. Make your topic as easy to understand as possible. If...
-
Draft a Departmental SOP please assist me with the arrangement? Safe Working Procedure (SWP) Use of ladders 1. Purpose 1.1 This standard operation procedure (SOP) addresses the placement to provide...
-
Salas Modernas, SA, has experienced liquidity problems in recent months, due, above all, to the fact that in the past it applied a very liberal credit policy, under which the necessary investigations...
-
Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 $218,006 $15,742 1 28,000 5,304 2 57,000 8,103 3 56,000 13,294 4 392,000 9,377 Whichever project...
-
Calculate liquidity, efficiency, leverage, coverage and profitability ratios ANALISIS VERTICAL ACTIVO ACTIVO CORRIENTE CAJA-BANCOS CTAS.POR COBRAR COMERCIALES EXISTENCIAS Materias primas Trabajos en...
-
Two Vanilla put options have the same strike K, but different maturity 0 between T and T2, prove that dates T
-
Continuation of Exercise 4-83. (a) What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? (b) What is the probability that there are no major...
-
The restaurant at the top of the Space Needle in Seattle, Washington, is circular and has a radius of 47.25 feet. The dining part of the restaurant revolves, making about one complete revolution...
-
Find a formula for the sum of the first n terms of the sequence. Prove the validity of your formula. 1, 5, 9, 13, ...
-
Find the value of k such that the system of linear equations is inconsistent. 1. 2. (4x 8y = -3 |2r + ky = 16 15 + 3D 6 10x + ky = 9
-
Assume the same facts as in Brief Exercise 14-16, except that Sharp Company does not intend to trade the bonds or to hold them until maturity. a. Prepare the entry for the purchase of the debt...
-
Tracking Co. holds an AFS bond investment in Fields Corp. The carrying value of the investment is \(\$ 4,500\) at December 31, 2020. Tracking Co. determines the fair value of the investment at the...
-
The following information relates to an AFS security investment held by Gomez Inc. Provide the journal entry to adjust the investment to fair value on December 31, 2020. Fair value. Carrying value...
Study smarter with the SolutionInn App