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LuckyWell [14K]
3 years ago
6

A homeowner is asking for council permission to remove a tree. To determine its height ( m), the council arborist (1.8m tall) me

asured the tree’s shadow (33 m long) and his own shadow (1.5m), at the same time of day
Find the height of the tree

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

39.6 m

Step-by-step explanation:

See the attached diagram.

Let AB is the height of the tree and CD is the height of the council arborist.

So, we have to determine AB while CD is given to be 1.8 m.

If the position of the sun at the time is such that the inclination of ray of light is x Degrees, then the shadow of the arborist is CE = 1.5 m and the shadow of the tree is AE = 33 m {Given}

As Δ ABE and Δ CDE are similar triangles, so, we can write

\frac{AB}{CD} = \frac{AE}{CE}

⇒ \frac{y }{1.8} = \frac{33}{1.5}

⇒ y = 39.6 m

Hence, the height of the tree is 39.6 m. (Answer)

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Alex

Answer:

10.68 ft

Step-by-step explanation:

sin(62.87)=x/12

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4 0
3 years ago
PLEASE HELP! which answer is correct??
Solnce55 [7]
Option( c ) is the correct one.
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x= (3+y)/2
By executing the value in second equation
{-(3+y)/2} +2y =3
( -3-y +4y)/2 =3
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y = 3
Again by substituting the value of y in any of the equation
-2x +y =-3
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7 0
3 years ago
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Kitty [74]

Answer with explanation:

Class Interval             Variate         Frequency

16-18                              16                     1

19-21                               0                     0

22-24                               0                    0

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8 0
3 years ago
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harkovskaia [24]

Answer:

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(40 - 40) - y = 14​ - 40

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x - 2(26) = 0

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3 years ago
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ivolga24 [154]
Probably you are supposed to compute

\displaystyle\lim_{x\to4}\frac{x^2-16}{x^2-4x}

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6 0
3 years ago
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