Unit 3 - Day 5

Day 5

Daily Objective:

Tangent and its relationship to slope.

Tangent

The tangent function is the slope of a triangle. Think about it, if you make a triangle on a graph out of your line of best fit, then to find the slope you would have to use the opposite and adjacent sides. The tangent function uses those sides and therefore finds the slope.

Quiz

1. If someone saw a 14 foot long roof and it was 6 feet tall, what is the slope of the roof? (Hint the whole roof is 14 feet long.)

2. Max drew a blue card that tells him to help make roof trusses. The roof trusses for this house need to be 24 and a half feet across and 4 feet tall. What is the slope of the trusses for this house?

3.Doug want to do a little DIY on his house and decides to make a little toolshed in his back yard. He bought 10 foot boards for the adjacent side of the trusses for the shed of his roof and 3 foot boards for the opposite sides of his roof. What will the slope of his shed be?

Answers

1. The first thing you must do for this problem is divide the 14 by 2, because that is the whole length of the roof and we only need half. Then you take take the 6 and divide it by the 7 that you just found and that will leave you with .857......and so forth. You then take that and push the tan-1 function and that will leave you with a final answer of a slope of 40.6. 

2. This problem is easier in the fact that all you need to do is divide 4 by 24.5. That will leave you with .163......something which you take by the tan-1 and that will leave you with a final slope of 9.27.

3. This problem is set up like the others in which you must divide the opposite over the adjacent, 3 divided by 10, which is .3. Take that by tan-1 and that leaves you with a final slope of 16.7.