Day 7: Students will review the trig functions; sine, cosine, and tangent. Students will take these trig functions and use them in real world problems. When using tangent, you either need to know an angle in a triangle, the adjacent side, or the opposite side. When using tangent, you are trying to find one of the three things I mentioned earlier. When using cosine, you either need to know an angle in the triangle, the adjacent side, or the hypotenuse. When using cosine, you are trying to find one of the three things I just mentioned. Lastly, when you use sine, you either need to know an angle in the triangle, the opposite side, or the hypotenuse. When using sine, you are trying to find one of the three things I just mentioned.

Quiz:

1. If a ramp is 5 feet tall and the angle of the ramp from the start to the top is 50 degrees, how long is the actual sloping part of the ramp?
2. If you are standing 10 feet away from the tree and the angle from you to the top of the tree is 60 degrees, how tall is the tree?
3. If If you are standing by a building, the distance from you to the top of the building is 1,000 feet, and the angle from you to the top of the building is 70 degrees, how far away are you from the building?

Answer Key:

1.

The sloping part of the ramp, or the hypotenuse, is 6.52 feet long.

2. 

The tree is 17.32 feet tall.

3.

You are 342.02 feet away from the building.