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GrogVix [38]
4 years ago
10

a tree casts a shadow 27meters long.a nearby by post that is 5 meters tall casts a shadow 3 meters long. how tall is the tree? (

hint: set up proportion to solve)​
Mathematics
2 answers:
ololo11 [35]4 years ago
8 0
5 x 27=135
3 x x= 135
135/3=45 = lenght of tree
coldgirl [10]4 years ago
8 0

Answer:

The tree is 45 meters high.

Step-by-step explanation:

Drawing this out will make it much easier.

In the figure, 3 is proportional to 27, and 5 is proportional to the missing side (x).

Insert the figures into an equation and solve:

3/5 *  27/x

Cross multiply:

3(x)= 27(5)

3x=135

135/3=x

x=45

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Read 2 more answers
Solve for x and y please!
galina1969 [7]

Answer:

x = 8

y=2\sqrt{3}

Step-by-step explanation:

The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.

x^2 =4^2 + (4\sqrt{3})^2

 Now we solve for x

x=\sqrt{4^2 + (4\sqrt{3})^2}

x=\sqrt{16 +16*3}\\\\x=\sqrt{64}\\\\x=8

Let's call z at the angle opposite to y

Then we have that:

sin(z) =\frac{opposite}{hypotenuse}

Where

hypotenuse = 8

opposite=4

sin(z) =\frac{4}{8}

z=sin^{-1}(\frac{1}{2})

z=30

Now we use this angle to find the length y

sin(z) =\frac{opposite}{hypotenuse}

Where in this case

hypotenuse = 4\sqrt{3}

opposite=y

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sin(30\°) =\frac{y}{4\sqrt{3}}

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6 0
4 years ago
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