Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
Just look at the percentages and make them into fractions. You can think about it like money. 50 cents is half of a dollar, so %50 is 1/2. for the decimals, you just take the percent and put a decimal point in front of the answer, so 28% is .28, 50% is .50, 18% is .18. For fraction to decimals, you could just put 1 divided by 4 into a calculator and it will tell you .25, which is the decimal, and 25 cents is one fourth of a dollar, so it works out.
Hope this helps! Let me know if you have any more questions!
Answer:
24
Step-by-step explanation:
radius is one half of the diameter so 12×2=24
r/3 + t = w to get r by itself (Which I think is your question)
r/3 + t = w subtract t from both sides
r/3 = w - t and times by 3 on both sides
r = 3(w-t)
Answer:
x + 4 - 3√2 and x + 4 + 3√2
Step-by-step explanation:
When other methods seem to difficult to apply, try using the quadratic formula:
Here a = 1/2, b = 4 and c = -1.
Then the "discriminant" is b^2 - 4ac, or
(4)^2 - 4(1/2)(-1), or 16 + 2 = 18
Then the roots are:
-4 ± √18, or -4 ± 3√2
and thus the factors are x + 4 - 3√2 and x + 4 + 3√2
x = ---------------------
