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3 years ago

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A tree with a height of 12 yards casts a shadow that is 33 yards long at a certain time of day. At the same time, another tree n

earby casts a shadow that is 20 yards long. How tall is the second tree?

2 answers:

ivanzaharov [21]3 years ago

7 0

Answer: Height of second tree would be 7.27 yards.

Step-by-step explanation:

Since we have given that

Height of a tree = 12 yards

Length of shadow of tree = 33 yards

If the shadow of tree = 20 yards

Then, we need to find the height of tree.

Since there is direct relation between height of tree and length of its shadow.

So, Let the height of tree in the second case be 'x'.

So, it becomes,

$\dfrac{12}{33}=\dfrac{x}{20}\\\\\dfrac{12\times 20}{33}=x\\\\7.27\ yards=x$

Hence, height of second tree would be 7.27 yards.

stellarik [79]3 years ago

4 0

$Shadow\ of\ second\ three\ is\\\\
33+20=53\\
Triangles\ made\ of\ three\ and\ shadows\ are\ similar, so\\
Proportion\ of\ length\ of\ shadow:\ \frac{53}{33}\\\\
Height\ will\ be\ on\ the\ same\ proportion\\\\
\frac{x}{12}=\frac{53}{33}\\\\
3x=53*12\\
3x=636\\
x=212\\
Second\ three\ has\ 212\ yards.$

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What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi

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4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

$\boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }$
$\boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }$

From the conversion previous we can produce the formula as follows:

$\boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}$
$\boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}$

We can state the following:

Degrees to radians, multiply by $\frac{\pi }{180^0}$
Radians to degrees, multiply by $\frac{180^0}{\pi }$

Given α = 720°. Let us convert this degree to radians.

$\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }$

720° and 180° crossed out. They can be divided by 180°.

$\boxed{ \ \alpha = 4 \times \pi \ }$

Hence, $\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}$

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<u>Another example:</u>

Convert $\boxed{ \ \frac{4}{3} \pi \ radians \ }$ to degrees.

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180° and 3 crossed out. Likewise with π.

Thus, $\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}$

<h3>Learn more </h3>

A triangle is rotated 90° about the origin brainly.com/question/2992432
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Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

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Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

<u><em>The question in English is</em></u>

You have a rectangle whose base is twice the height and its area is 12

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step 1

Find the dimensions of rectangle

we know that

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substitute

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step 3

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$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

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