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NARA [144]
3 years ago
11

From a point 55 feet away from the foot of a tower, the angle of elevation of the top of the

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

The height of the tower is approximately 95.263 feet

Step-by-step explanation:

The given parameters are;

The distance from the foot of the tower where the angle of elevation is measured = 55 feet

The angle of elevation to the top of the tower from a point 55 feet from the foot of the tower, θ = 60°

Therefore, by trigonometric ratio, we have;

tan(\theta )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{The \ height \ of \ the \ tower}{Distance \ from \ foot \ of \ tower}

Therefore, we have;

tan(60 ^{\circ} ) = \dfrac{The \ height \ of \ the \ tower}{55 \ feet}

The height of the tower = 55 feet × tan (60°) = 55 × √3 feet ≈ 95.263 feet.

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Find the sum of 20 + 14 + 8 + ... + (-70)
Tanya [424]

Answer:

-400

Step-by-step explanation:

20 + 14 + 8 + ... + (-70) =

= (-6·1+26)+(-6·2+26)+(-6·3+26)+...+(-6·16+26) =

= -6·(1+2+3+...+16)+26·16 =

= -6·16·17/2+26·16 =

= -6·8·17+26·16 =

= -816+416 =

= -400

5 0
3 years ago
The combination for opening a safe is a four-digit number made up of different digits. How many different comninations can you m
morpeh [17]

There are 625 different 4-digit codes only made with odd numbers.

<h3></h3><h3>How many different combinations can you make?</h3>

To find the total number of combinations, we need to find the number of options for each one of the digits.

There are 4 digits, such that each digit can only be an odd number.

  • For the first digit, there are 5 options {1, 3, 5, 7, 9}
  • For the second digit, there are 5 options {1, 3, 5, 7, 9}
  • For the third digit, there are 5 options {1, 3, 5, 7, 9}
  • For the fourth digit, there are 5 options {1, 3, 5, 7, 9}

The total number of different combinations is given by the product between the numbers of options, so we have:

C = 5*5*5*5 = 625.

There are 625 different 4-digit codes only made with odd numbers.

If you want to learn more about combinations:

brainly.com/question/11732255

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4 0
2 years ago
Which property does the equation illustrate (x+5)+9=x+(5+9)
kiruha [24]

The Associative Property of Addition.
6 0
3 years ago
Use the quadratic function to predict y if x equals 7. Y=2x^2 -3x +3
nordsb [41]
To evaluate the value of y if x=7, given that function is such that y=2x^2-3x+3, we shall have:
f(7)=2(7)^2-3(7)+3
f(7)=2(49)-3(7)+3
f(7)=98-21+3
f(7)=80
Hence we conclude that when x=7, y=80

7 0
3 years ago
Twelve is added to twice a certain number​
Flura [38]

Answer:

The answer is 9

Step-by-step explanation:

When 12 is added to twice a certain number and the result is doubled, the final answer gives 60

7 0
2 years ago
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