Unit 3 - Day 7

Day 7

Daily Objective: Review of Trig

You are now ready for review. Over these next 6 questions you will review everything we have learned these last 6 days.

Review

1. Trey is building a roof truss and wants to find the angle of it if it's 2 feet tall and 3 feet long on the bottom.

2. If a right triangle has an angle of 27 degrees and an adjacent angle of 12 feet, how long is the hypotenuse?

3. A small right triangle has a bottom side of 3 feet and a hypotenuse of 5 feet. a large triangle has a bottom of 7 feet but no one knows how long the hypotenuse is. Find the length of the hypotenuse.

4. Mark has decided to find the slope of a right triangle that has an adjacent side of 7 feet and a opposite side of 3 feet. He thinks the slope is 24. Is he correct?

5. A triangle has a bottom length of 19 inches, the bottom right angle is 83 degrees and the bottom left angle is 72 degrees. What is the length of the left side of the triangle.

Answers

1. To solve this problem simply divide 2 by 3 and then use the tangent-1 function to get a final answer of 33.7.

2. For this problem all you have to do is divide 12 by 27cosine and that will leave you with a final answer of 13.47 feet. 

3. You have to set up the problem like 3/5 x 7/x. Then you cross multiply them to get 35/3x. Then divide the whole thing by 3 to get a final answer of 11.67 feet.

4. The correct answer is no he is not correct because if you divide 3 by 7 and then take that by tangent-1 you get 23.2 as your slope.
5. For this problem first you must find the third angle, which is 25 degrees. Then you have to set up the problem like this: sine25/19 x sin72/x. You must then cross multiply the 19 and sine72 and then divide by sine25 to get your final answer of 42.76.