Answer: the length of the extended ladder is 8√3 feet or 13.9 feet
the distance between the wall and the bottom of the ladder is 4√3 feet or 6.9 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the extended length of the ladder h, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 60 = 12/h
√3/2 = 12/h
h = 12 × 2/√3 = 24√3
h = 24√3 × √3/√3
h = 8√3
To determine the distance between the wall and the bottom of the ladder d, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse.
Therefore,
Cos 60 = d/8√3
0.5 = d/8√3
d = 0.5 × 8√3
d = 4√3
Answer:
x+10-y
Step-by-step explanation:
i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:
alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).
If there is a 20% discount of a 250$ microwave, then price will be 200$. That is because 20% of 250 is 50, so you subtract 50 from 250, and get your answer: 200$.
Hope I was able to help. If you need any more help, please let me know and I will assist you.
Answer:
answer is 52 cm
Step-by-step explanation:
BA = 17, BF = 6, and CG = 9
triangle sides BF and BH are congruent because they are tangent lines along the same curve
BH is equal to 6 since BF is equal to 6
this applies to CG and CF and AG and AH
CG is equal to 9
so CF is equal to 9
now we add 6 + 9 for the measurement of side CB
CB = 15
now we do the same for the other two sides
we already know BA = 17 so we subtract it from BH = 6 to find the measurement of AH
AH is equal to 11 and is tangent across the same curve as AG
AG = 11
now we add AG to CG
11 + 9 = 20
now we know all the side lengths
CB + BA + AC = Perimeter
15 + 17 + 20 = 52
Perimeter of triangle BCA = 52
I don't know why I went through all the trouble if I know no one is going to see this :'(. I just thought the other guy gave the wrong reasons
