. For each problem you must set up equations, draw and label triangles, and answer the question(s) in a complete sentence

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Name Trig Tasks For these tasks, you have been hired by World Wide Engineering (WWE) and you will

You will be completing a series of tasks at various locations throughout the world.

For each problem you must set up equations, draw and label triangles, and answer the question(s) in

1 Name Trig Tasks For these tasks, you have been hired by World Wide Engineering (WWE) and you will travel around the world to solve real life problems using trigonometry. You will be completing a series of tasks at various locations throughout the world. You will need to use the information given and solve the problem at your home office. For each problem you must set up equations, draw and label triangles, and answer the question(s) in a complete sentence. You may use calculators and/or trigonometric tables. You will be evaluated on the sketches, equations, and correct answers to the questions.

2 Task 1: Before we begin our world tour, we need to establish how to measure the angles of elevation and depression that we are using in this project. We are now going to build clinometers to find the height of a basketball hoop. A Clinometer is a professional device that is used to find an angle of elevation or depression when looking at an object. There are several types of clinometers. Below is a diagram of a clinometer constructed from a protractor, straw, string and a paper clip. While this is an inexpensive option, we are going to use the technology in our pockets to create a more accurate one. In your group, go to the app store on your smart phone and download: ihandy Level Once you have downloaded the app, tape a straw along the side of your phone. This step is not necessary, but is helpful when you are looking at your object.

3 Using your clinometer to measure the height of an object: 1. From a fixed point, have one person in your group look at the top of the clock with the clinometer. Have another person record the resulting angle measurement (below). Finally, record the distance from the base of the wall to the fixed point where you are standing (below). Height of observer (to the eyes): (in inches) Angle of elevation: Distance from the wall: (in inches) 2. Use trigonometry to find the height of the clock. Draw an illustration and show all work. 3. In the table below, record the results of each group s angle of elevation, and estimated height of the clock. Group Angle of Elevation Estimated Height Class average estimated height 4. The actual height of the clock is. What was the difference between your calculated height and the actual height of the clock? What was the difference between the class average height of the clock and it s actual height? What do you think caused these differences? Was using a clinometer an accurate and appropriate method for determining the height?

4 Task 2: Big Ben is a famous clock in London, England. Humberto took the job of measuring it for WWE. He stood 40 ft out from the base of the clock tower and measured up from the ground up to the center of Big Ben s clock face. If Humberto s height to his eyes is 5 ft., how high off the ground is the center of Big Ben s face? Round your answer to the nearest tenth. Task 3: The Leaning Tower of Pisa in Italy is being studied by our team of engineers. When Maria drops a marble off the edge of the viewing platform, Hector finds that it lands 12ft out from the base of the tower. Rocio measure the angle at the top between the side of the tower and vertical to be How far did the marble drop? Round your answer to the nearest tenth. Task 4: Mount Rushmore is a monument of four U.S presidents faces carved into stone in the Black Hills of South Dakota. Our client has hired WWE to measure how tall George Washington s face is. Jim is standing on the viewer s platform. The platform is 1000 ft from the base of the mountain. Under the faces Katie measured the degrees as Jim sights the top and bottom of George s stone face. From Jim s view it is 15.3 inclined to the bottom edge of Washington s chin and it is 18.6 up to the top of Washington s head. How tall is Washington s stone face from the top of his head to the bottom of his chin? Round your answer to the nearest tenth.

5 Task 5: To provide support during repairs to the Eiffel Tower in Paris, France. World Wide Engineering stretched a 3,765 foot cable from the top of the tower to a spot far away from the base. The cable made an angle of elevation of degrees from the ground to the top of the tower. How tall is the Eiffel Tower? Round your answer to the nearest tenth. Task 6: The Washington Monument in Washington, DC is 555 feet tall. Ricky is standing in front of the steps of the Lincoln Memorial, 3455 feet away from the Washington Monument, If Ricky s height to his eyes is 5 ft., at what angle of elevation does he sight the top of the Washington Monument? Round your answer to the nearest tenth. Task 7: The Taj Mahal in India is built on a square base with a diagonal of approximately ft. Describe TWO methods that can be used to determine the side length of the base. To the nearest tenth of a foot, how many square feet is the area of the Taj Mahal?

6 Task 8: Maria is standing on a hill top that is level with the bottom of the Great Wall of China and directly across from it. She has attached two ropes to the top and bottom of the wall to make measurements for construction purposes. The ropes create an angle of elevation of degrees and the length from the hilltop to the bottom of the wall is 300 feet long. How long is the rope attached to the top of the Wall? Round your answer to the nearest tenth. Task 9: The Great Sphinx is not very tall, only 66 ft at the highest point. If Jason measures an angle of 35.2 from the ground to the top of the Great Sphinx, how far is he standing from it? Jason decides to repeat his measurement further away from the pyramid. He measures an angle of Jason s height to his eyes is 68 inches. How far did he move back? Round your answer to the nearest tenth. Task 10: The Chichen Itza Mayan Pyramid in Mexico is to be photographed by our WWE company. We have been told to stand at a point 300 feet away from the base, and we cannot step on the pyramid. A side measurement indicates it is 30 feet from the front edge of the pyramid to a point straight below the top edge of the pyramid. The angle from the ground to the top of the pyramid is degrees. How tall is Chichen Itza pyramid? Round your answer to the nearest tenth.

#12 Algebra 2 Notes Using Trig in Real Life

#12 Algebra 2 Notes Using Trig in Real Life #12 Algebra 2 Notes 13.1 Using Trig in Real Life #12 Algebra 2 Notes: 13.1 using Trig in Real Life Angle of Elevation Angle of Elevation means you are looking upward and is usually measured from the ground