Name: ____________________________________________________________________________ Date: ________________ Pd: ________Trigonometry Project

Materials Needed: Clinometer, measuring tape, paper, pencilResources: http://www.instructables.com/id/Using-a-clinometer-to-measure-height/ http://youtu.be/MBRnT049Dig

Helpful things to consider: Will we do our calculations using inches or feet? Does this mean we need to convert any measurements

before we calculate using trigonometry? Did we factor in our height into our calculations? Is our answer reasonable? What type of triangles can we use trigonometry on?

Station 1: Ms. Hammond wanted to create a scaled model of Heath High School. She was able to find blueprints to assist her in building her model, however, the plans did not give Ms. Hammond the height of the school. Find a place in the yard and help Ms. Hammond find the height of Heath High School.

Step 1: Measure the distance from your current spot to the building (x).

Step 2: Find the angle of elevation from you to the top of the school ( θ )

Step 3: Find the height from ground to your eye level (y).

Step 4: Use trigonometry to find the height of the building (z).

Station 2: For Homecoming, your Geometry class is making a banner that will be attached to the flagpole in front of the school. A rope will be tied to the top of the flagpole then attached to another pole in a grassy area near the flagpole. The second pole is your height. You know the flagpole is 30 feet tall but you must buy enough rope to attach the banner and then tie to the top of the second pole. The diagram below shows what the finished product will look like.

Step 1. Stand in a grassy area near the flagpole and calculate the angle of elevation.

Step 2. Measure the height from the ground to your eyelevel.*Hint: you will need to consider this in your calculations.

Step 3: Use trig to calculate the distance you are away from the Flagpole.

Step 4. Use trig to calculate how much rope you will need for the banner.

z

x y

Happy Homecoming

Station 3: The RHHS Ninja Club is preparing to host the 2014-2015 High School Ninja Warrior Challenge. They want you to find the following measurements or else…

Step 1: One of the events will be the Ninja Leap where contestants will attempt to jump across the width of the main RHHS 3000 level hallway. Determine the length each contestant will have to jump to clear the distance across the hall (a).

Step 2: The next event will be the Ninja Dart Shoot. Each contestant will be required to hit a target at the top of the brick pillar across the hallway with a ninja dart. Determine the angle of elevation (b) each contestant will use to hit the target.

Step 3: The 3rd event will be the Ninja Rope Slide. Each ninja will slide down a rope attached to the bottom of the brick pillar from the 5000 level to the 3000 level. Determine the angle of depression (c) the rope will make.

Step 4: The Ninja Wall Climb will require the ninjas to scale the wall from the 3000 level to the 5000 level in the main hallway. They want you to determine the height of the wall (d) they will have to climb. (hint: do not forget to factor your height into your calculations.

Step 5: The final event will be the Ninja Wall Grappling Hook throw. The ninjas will have to throw a grappling hook from the 3000 level to the top of the brick pillar in the hallway. Determine the height of the brick pillar (e) they will have to reach with the grappling hook.

Station 4: On the second floor of the 5000 wing, pick a window to use for your measurements. The height of the building to the bottom of the window you are looking out of is 15 feet. Pick an object in the yard and find the angle of depression, horizontal distance from the school to the base of the object, and the distance from your level of eyesight to the base of the object.

Step 1: Pick an object in the yard outside.

Step 2: Draw a picture showing your location and the location of the object

Step 3: Measure the angle of depression to the base of the object

Step 4: Use trigonometry to find the horizontal distance from the base of the school to the base of the object. *Do not forget to consider your height again .

Step 5: If you were to zip line from your location to the base of the object. Use trigonometry to find how far would you have traveled? *Do not forget to consider your height again .

Draw Picture here for reference:

Extension Questions

1.) The lighthouse is 125 feet tall. You are in the lighthouse and see a boat that is stranded in the water. You can also see a rescue boat on its way to help! Use the angle of depressions to find out how far the rescue boat is away from the stranded boat?

2. The 300m path to the information center and the 400m path to the canoe rental dock meet at a right angle at the parking lot. Marla walks straight from the parking lot to the lake as shown, where a sign tells her that she is 320m from the dock. How far is Marla from the information center? How far did Marla walk from the parking lot to the lake?

Summary: Write a brief summary about the project. What did you learn? What was the reasonability of your answers? Wrap up your project during the summary.

7°67°

Rubric

Objective Score

Station 1 calculations/accuracy /12

Station 2 calculations/accuracy /12

Station 3 calculations/accuracy /12

Station 4 calculations/accuracy /12

Extension question calculations/accuracy /12

Creativity /5

Put together into a cohesive presentation /10

Summary /10

Peer Evaluations /15

Grade