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Alex_Xolod [135]
3 years ago
13

A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from the building and has an eye le

vel of 5 ft. How tall is the building to the nearest tenth of a foot?

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

112.2ft

Step-by-step explanation:

As can be seen in the attached diagram, The top of the building is at C.

The distance from the man to the building is |BD| and the height of the man is |AB| where his eye level is at B.

We are required to find the height |CE| of the building.

Now |AB|=|DE|, (opposite sides of a rectangle).

Tan 65° = |CD|/59

|CD|=59 XTan65°=107.23

The height of the building |CE|=|CD|+|DE|=107.23+5=112.23ft

The height=112.2ft ( to the nearest tenth)

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Rectangle measures 15/2 inches by 4/3 inches. What is it’s area?
erica [24]

Answer:

10 inches squared

Step-by-step explanation:

Area is length times width

A= lw

A= 15/2 x 4/3

A = 60/6

A= 10 in^2

5 0
3 years ago
Read 2 more answers
F(x)= <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%207%7D%7B10%7D%20" id="TexFormula1" title=" \frac{4x - 7}{10} "
Naily [24]

Answer:

To find f-¹(x) of f(x) equate f(x) to y

That's

f(x) = y

So we have

y =  \frac{4x - 7}{10}

Next interchange the variables that's x becomes y and y becomes x

That's

x =  \frac{4y - 7}{10}

Next make y the subject

Cross multiply

We have

4y - 7 = 10x

Move -7 to the right side of the equation

4y = 10x + 7

Divide both sides by 4

We have the final answer as

y =  \frac{10x + 7}{4}

So

f ^{ - 1} (x) =  \frac{10x + 7}{4}

Hope this helps you

7 0
3 years ago
Emily read 24 fiction books and 2 nonfiction books. What is the ratio of the number of fiction books she read to the total numbe
Tems11 [23]

The ratio of number of fiction books to total number of books that she read   12:13.

Given :

Emily reads 24 friction books and 2 nonfiction books.

Number of fiction books she read =24

Number of nofiction boos she read = 2

Total number of books = 26

To Find :

What is the ratio of the number of fiction books she read to the total number of books that she read ?

Solution :

Total number of books that she read=24+2=26

number of fiction books she read=24

Thus ratio of number of fiction books to total number of books that she read

 ⇒  \frac{24}{26}

 ⇒  \frac{12}{13}

 ⇒ 12: 13

Hence  ratio of number of fiction books to total number of books that she read 12 : 13

To know more about total number of books visit :

brainly.com/question/1179123

#SPJ1

4 0
1 year ago
Which of the diagrams below represents the contrapositive of the statement "If it is an elm, then it is a tree"?
Murrr4er [49]

Answer:

Right

Step-by-step explanation:

For a contrapositive, we switch the hypothesis and conclusion and then negate it.

Switch

If it is a tree, then it is an elm

Negate

If it is not a tree, then it is not an elm.

Not tree belongs inside not elm

Right


7 0
3 years ago
11 can someone please explain this
Ann [662]

Answer:

46 degrees

Step-by-step explanation:

7 0
2 years ago
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