Was I right for 46 but 47 I need help with
1 answer:
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Answer: 20 ft
This problem can be solved by the Thales’s theorem, which states:
<em>Two triangles are similar when they have equal angles and proportional sides </em>
It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other. </u>
<u />
Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.
In this case we have two similar triangles (Figure attached) where is the height of the flagpole,
is the height of the person,
is the length of the shadow of the flagpole and
is the length of the shadow of the person.
Having this clear, we can write the following relation with both similar triangles:
(1)
We know all these lengths except , which is the value we want to to find.
So, in order to approach this problem we have to find from equation (1):
Then:
>>>>>This is the height of the flagpole
The coordinate of the point is (6,-2)
<h3>How to determine the coordinate of the point?</h3>The given parameters are:
A = (1,8)
B = (7,-4)
The location of the point (i.e 5/6) means that the ratio is:
m :n = 5 : (6 - 5)
m : n = 5 : 1
The coordinate of the point is then calculated as:
So, we have:
Evaluate
Evaluate the product
(x,y) = (6,-2)
Hence, the coordinate of the point is (6,-2)
Read more abut line segment ratio at:
#SPJ1
Answer:
a=1 or a=5
Step-by-step explanation:
+4=6a−1
Step 1: Subtract 6a-1 from both sides.
+4−(6a−1)=6a−1−(6a−1)
−6a+5=0
Step 2: Factor left side of equation.
(a−1)(a−5)=0
Step 3: Set factors equal to 0.
a−1=0 or a−5=0
a=1 or a=5
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