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Masteriza [31]
3 years ago
12

Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast a

n 18 foot shadow what is the length in feet of the shadow of the shorter tree
Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer: Length of shorter tree = 7.2 feet .

Step-by-step explanation:

Given : Height of two trees as 50 feet and 20 feet.

At same time the angle made by sun rays would be same for both trees.

Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.

Corresponding sides of similar triangles are proportional.

So \dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2

So, Length of shorter tree = 7.2 feet .

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Solve for the missing sides and show all the work.
erastovalidia [21]

So, first you must find the remaining angle measure. To do this add 25 and 90 then subtract from 180. The remaining angle measure is 65 degrees.

Next, use tangent, cosine, or sine to find the remaining side lengths.

I used sine of 25 which is opposite of hypo. which is sine 25 = y/43.

Multiply both side by 43 and you get y=18.17

Do the same to find x, but use the sine of 65, and you get sine 65 = x/43.

Multiply both sides by 43 and you get x=38.97

Hope this helped!

3 0
2 years ago
A seat on a ferris wheel is level with the center of the wheel. the diameter of the wheel is 210 feet (ft). if the wheel rotates
kakasveta [241]

The 210 feet diameter of the ferris wheel rotated 45° gives;

The amount by which the height of the seat changes is the option;

  • startfraction 210 startroot 2 endroot over 2 endfraction ft.

\Delta y = \frac{210 \cdot \sqrt{2}}{2} \: ft

<h3>Which method can be used to find the change in height of the ferris wheel?</h3>

Given parameters;

Diameter of the wheel, <em>D </em>= 210 feet

Angle of rotation of the wheel = 45°

Required;

The measure by which the height changes.

Solution;

The equation of a Ferris wheel can be represented as follows;

y = A•sin(B•(x - c)) + D

Change in height, ∆y, is found as follows;

∆y = A•sin(t1) + D - A•sin(t2) + D

∆y = A•(sin(t1) - sin(t2))

Where;

t1 = 0

t2 = 45°

A = The radius = 210 feet

Therefore;

∆y = 210×2×(sin((45+0)/2)° × cos((45-0)/2)°)

∆y = 210×2×(sin(22.5)° × cos(22.5)°)

∆y = 210×sin(2×22.5)° = 210×sin(45)°

  • ∆y = 210×(√2)/2

The amount by which the height of the seat changes is therefore;

\Delta y = \frac{210 \cdot \sqrt{2}}{2} \: ft

The correct option is therefore;

startfraction 210 startroot 2 endroot over 2 endfraction ft.

Learn more about the equation of a Ferris wheel here:

brainly.com/question/14504727

#SPJ1

7 0
2 years ago
Helppppp thxxxxxxxxxx
ser-zykov [4K]

Answer:

F. \frac{3}{2}

Step-by-step explanation:

\frac{a + 2b}{b}  =  \frac{7}{2}

Cross multiply:

7b= 2(a +2b)

Expand:

7b= 2a +4b

Bring all common variables to 1 side:

7b -4b= 2a

3b= 2a

divide by 2 on both sides:

\frac{3}{2} b = a

divide by b on both sides:

\frac{3}{2}  =  \frac{a}{b}  \\  \frac{a}{b}  =  \frac{3}{2}

6 0
3 years ago
ONLY FOR memc3891 points for you have a great day
Oksana_A [137]

Answer:

anyone want to zom?

Step-by-step explanation:

7 0
3 years ago
g Predict the element that will have the highest mass percent composition in each compound without doing any calculations. Ident
myrzilka [38]

Answer:

Oxygen

Step-by-step explanation:

Oxygen has highest mass percentage in C3H6O. because of his mass.

7 0
2 years ago
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