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Fofino [41]
2 years ago
12

A fighter tank targets an enemy helicopter flying at an altitude of 1250 ft. If the ground

Mathematics
1 answer:
madam [21]2 years ago
7 0

By using trigonometric relations, we will see that the angle of elevation must be 55°.

<h3>How to find the angle of elevation?</h3>

We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.

The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.

Then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

tan(a) = 1250ft/875ft

To find the angle of elevation, we can use the inverse tangent function:

a = Atan(1250ft/875ft) = 55°

The angle of elevation must be 55 degrees.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

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Step-by-step explanation:

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The answer would be C
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Arrange these numbers in increasing order: 216,000,000, 2.2 × 10 to the 3rd power, 3.1 × 10 to the 7th power, 310,000
ziro4ka [17]
<span>216,000,000
</span><span>2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
<span>310,000

Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000

So increasing order with original numbers:
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7 0
3 years ago
How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?
valkas [14]

The convex heptagon has 14 distinct diagonals can be drawn

Step-by-step explanation:

A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon

The formula of number of diagonals in any polygon is d=\frac{n(n-3)}{2} , where

  • d is the number of the diagonals of the polygon
  • n is the number of sides of the polygon

∵ The heptagon has 7 sides

∴ n = 7

∵ The number of diagonals = \frac{n(n-3)}{2}

- Substitute n by 7 in the rule above

∴ The number of diagonals = \frac{7(7-3)}{2}

∴ The number of diagonals = \frac{7(4)}{2}

∴ The number of diagonals = \frac{28}{2}

∴ The number of diagonals = 14

The convex heptagon has 14 distinct diagonals can be drawn

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

4 0
4 years ago
(3-20i)-(14+6i)-(8-2i)
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Because there are parentheses we distribute the negative signs:

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Next combine like terms:

3 + (-14) + (-8) and -20i - 6i + 2i

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