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jonny [76]
4 years ago
6

A vertical radio tower is 645 feet high above level ground. How far would you need to be from the base of the tower so that the

angle of elevation to the top of the tower would be 35.0°? (The “angle of elevation” is the angle measured from level ground up to the top of the tower.)
Mathematics
1 answer:
WITCHER [35]4 years ago
8 0

Answer:

921.165 feet

Step-by-step explanation:

Ok we are looking for the length of the base.

Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.

The height= 645 feet

Angle of elevation= 35°

Base is unknown

To find the base

We recall that tan of angle

= opposite/adjacent

In this case

Angle= 35°

Opposite= height= 645

Adjacent= base

Tan 35 = 645/adj

Adj =645/tan 35

Adj =645/0.7002

Adj = 921.165

The base is 921.165 feet

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Help please (will chose brainliest).
lara [203]
Answers with Explanation.


i. If we raise a number to an exponent of 1, we get the same number.

{10}^{1}  = 10

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

{10}^{2}  = 10 \times 10 = 100

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.



{10}^{3}  = 10 \times  {10}^{2}  = 10 \times 100 = 1000

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.


{10}^{4}  =  10 \times {10}^{3} = 10 \times 1000 =  10000

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.



{10}^{5}  = 10 \times  {10}^{4}  = 10 \times 10000 = 100000

{10}^{5}  = 100000

vi. Recall that,

{a}^{ - m}  =  \frac{1}{ {a}^{m} }
We apply this law of exponents to obtain,

{10}^{ - 2}  =  \frac{1}{{10}^{2} }  =  \frac{1}{100}

vii. We apply
{a}^{ - m}  =  \frac{1}{ {a}^{m} }
again to obtain,


{10}^{ - 3}  =  \frac{1}{ {10}^{3} }  =  \frac{1}{1000}





5 0
3 years ago
What is greater 5/8 or 60%
luda_lava [24]

Answer: 5/8 :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
At the bookstore, 40 copies of a popular paperback book fit perfectly on a 5-foot shelf. How many copies of this book would fit
Ierofanga [76]

Answer:

64 books

Step-by-step explanation:

The first step is to find the number of books that will fit in the shelve per foot

= 40/5

= 8

Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows

= 8×8

= 64

Hence 64 books would fit in 8-foot shelf

5 0
3 years ago
The sum of the interior angles of a polygon is 1080 degrees. How many sides does the polygon have?
postnew [5]

9514 1404 393

Answer:

  8

Step-by-step explanation:

The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...

  sum of angles = 180°(n -2)

Filling in the given value and solving for n, we get ...

  1080 = 180(n -2)

  6 = n -2 . . . . . . divide by 180

  8 = n . . . . . . . . add 2

The polygon has 8 sides.

4 0
3 years ago
Can a triangle be made from the measurements of 4.5 in, 8.3 in, 13.7 in? And if it can make a triangle what kind is it? ie. acut
sineoko [7]
No it can’t make a triangle
7 0
3 years ago
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