The tree and the shadow make a right triangle with the tree height opposite the 68 degree angle:
Choice C
Answer:
ten and a half
Step-by-step explanation:
2×3.5= 7
3×3.5= 10.5
<span>5x-0.1=4x
Subtract 5x from both sides so that the x variable is only on one side
-0.1=-x
Divide both sides by -1 to get rid of the negative on the side with the x variable
Final Answer: 0.1=x</span>
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
