Greg Needs Help With Trig

Updated: 2/19/2020

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Comic strip for geometry, must have the problems using sine cosine or tangent. One must be finding an angle. Answers must be correct.

- Hey Greg, you seem aggravated, are you okay??
- I want to figure outthe angle of elevationbetween the tree andthe edge of both ofthe chairs. But I donot know how!!!
- No not at all, thatChristmas tree isannoying mebecause it is notcentered on the table
- It is ok, I know how,all you need to do isform a triangle with the points youare measuring and then use sine, cosine,or tangent to find the angle of elevation
- By finding the length of each side of the triangle, it is very easy to find the angle ofelevation
- For this problem you would use theinverse cosinecos-(3/5)
- The angle ofelevation would be 50.1 degrees.
- 4
- 90
- 3
- ?
- 5
- For this one youwant to find what?
- I want to find thehypotenuse
- That could easilybe found using thePythagoreantheorem but forpractice we willuse triganometry
- ?
- 4
- Luckily this triangle is a45/45/90 so finding theangle measures is noproblem
- 90
- 45
- 4
- The hypotenuse will be 5.7 feet.
- Sin(45) = 4/x
- We will try to findthe angle of elevation forthis right triangle
- Tan-(x)=8/4
- 4 4
- 8
- The angle ofelevation will be 63.4 degrees.
- 8.9