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Sedaia [141]
3 years ago
5

Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are standing 50 feet away from the

tree and the tree casts a 60-foot shadow, how tall could you be and still be completely in the shadow of the tree?

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

6 feet

Step-by-step explanation:

Given,

The height of tree, say AB ( A is top, B is bottom ) = 36 foot,

Length of its shadow, BE = 60 feet,

Suppose CD represents me, ( where C is top, D is bottom )

We have, BD = 50 feet,

∵ DE = BE - BD = 60 - 50 = 10 feet,

Using trigonometric ratio,

\tan A = \frac{CD}{DE}=\frac{AB}{BE}

\implies \frac{CD}{10}=\frac{36}{60}

CD = \frac{36}{60}\times 10 =\frac{36}{6}=6

Hence, I would be 6 feet tall.

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-3.5 x 0.2 =??? ;w;<br><br><br> A. -0.7<br> B. 0.7<br> C. -3.3<br> D. -0.7
Dafna11 [192]

Answer:

A and D

Step-by-step explanation:

It can't be B because of the negative...

It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative

A and D are the same?

-3.3 * 0.2 = -0.7

3 0
3 years ago
HELP PLEASE IM REALLY STUCK
liberstina [14]
The 15th term will be 71. Why? Well, see below for an explanation!

By subtracting all of these numbers by the term that comes prior to them, we will find that all of them result in 5. Because of this, we know that each time the term increases, 5 is being added to the numbers. Additionally, I noticed that all of the numbers in this arithmetic sequence only end in a 1 or a 6. Because of this, we can apply the same principle when adding 5 each time:

First term: 1
Second term: 6
Third term: 11
Fourth term: 16
Fifth term: 21
Sixth term: 26
Seventh term: 31
Eighth term: 36
Ninth term: 41
Tenth term: 46
Eleventh term: 51
Twelfth term: 56
Thirteenth term: 61
Fourteenth term: 66
Fifteenth term: 71

By adding 5 each time and keeping in mind that the digits all end in only 1 or 6, we will find that the fifteenth term results in 71. Therefore, the 15th term is 71.

Your final answer: The 15th term of this arithmetic sequence comes down to be 71. If you need extra help, let me know and I will gladly assist you.
4 0
2 years ago
What does expression equivalent mean?
Studentka2010 [4]

Answer:


Step-by-step explanation:

Equivalent expressions are expressions that are the same,even though they might look different. If you plug in the same variable value into equivalent expressions they will each give you the same value when you simplify.

7 0
3 years ago
Solve 3(a + 3) – 6 = 21. Write a reason for each step.
kakasveta [241]

Answer:

Step-by-step explanation:

3(a+3)-6=21

<=>3a+9-6=21

<=>3a+3=21

<=>3a=18

<=>a=6

7 0
3 years ago
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Help me ASAP please I don't understand it please help It is dued by TONIGHT
Sergeu [11.5K]

So, the first blank is for what kind of angle it is: acute, obtuse, reflex, straight, or right. The second blank is for what the measure of the angle is. You can find that out by looking at the protractor. It should tell you what the measure of the angle is. You can read the protractor by looking at the numbers. The numbers are the degrees of incline the angle measures, which is what you're looking for.

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3 years ago
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