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Kay [80]
3 years ago
6

A helicopter is hovering 110 feet in the air over a landing pad. If a man sees the helecopter at an angle of elevation of 29°, w

hich of the following shows how far the man is from the helicopter landing pad?

Mathematics
1 answer:
Pavel [41]3 years ago
3 0
See the attached figure to better understand the problem

we know that

tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft 
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft

the answer is
the man is  198.45 ft  from the helicopter landing pad 

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Use the figure below to find the answer.
frutty [35]
Hello!

The image above displays a right triangle, meaning one of its angles is 90 degrees. We are also given a second angle, whose measure is 45 degrees. We know that the sum of all angles in a triangle will equal 180 degrees. This can be expressed by the following formula:

(angle 1) + (angle 2) + (angle 3) = 180

Using this formula, we can find the value of the third angle. Begin by inserting any known values into the equation above:

90 + 45 + (angle 3) = 180

Simplify the left side:

135 + (angle 3) = 180

Subtract 135 from both sides of the equation:

angle 3 = 45

We have proven the third angle to equal 45 degrees. Because the angles of this triangle are 90, 45, and 45 degrees, this particular triangle can be classified as a "right isosceles triangle." Isosceles simply means that it will have two identical angles (in this case, 45 and 45) and two sides of identical length (in this case, "x" and 7). Because we have proven that "x" and 7 are the same length, we can conclude that "x" is equal to 7.

Now, because this is a right triangle, we can use the Pythagorean Theorem to calculate the value of "y." This theorem states the following:

c² = a² + b²

In this case, A and B are the legs while C represents the hypotenuse (y). Insert any known values into the equation above and simplify:

c² = 7² + 7²
c² = 49 + 49
c² = 98

Now take the square root of both sides:

c = \sqrt{98}
c = 7\sqrt{2}

We have now proven that the value of "y" is 7\sqrt{2}

<em />I hope this helps!
7 0
3 years ago
Find the value of $c$ that makes $x^2+20x+c$ a perfect square trinomial. $c=$ Write the expression as the square of a binomial.
horrorfan [7]

9514 1404 393

Answer:

  • c = 100
  • (x +10)²

Step-by-step explanation:

The square of a binomial is ...

  (x +a)² = x² +2ax + a²

Comparing this to your expression, we have ...

  2a = 20 . . . . x-coefficient

  a² = c . . . . . . constant term

Then ...

  a = 20/2 = 10

  a² = 10² = 100 = c

The square is then ...

  (x +10)²

5 0
3 years ago
Read 2 more answers
3x + 2y = A 5x + y = B Eliminating the variable y from the system of equations results in -7x =
zhuklara [117]
The answer is A
You would multiply the second equation by -2 to clear the 'y'.
This leaves -10x = 2B and 3x = A
When combining these we get -7x = A - 2B
5 0
3 years ago
Does anyone know this need help
madreJ [45]

Answer:

32 m

Step-by-step explanation:

The distance across the river is give as x and we are interested in finding the value of x.

Both the triangles are similar by AA Postulate.

Therefore,

20/x = 10/16 (by c.s.s.t.)

2/x = 1/16

x = 16*2

x = 32 m

8 0
3 years ago
The drama department was considering two options for the winter production. They used the following equations to represent the p
stellarik [79]

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

8 0
3 years ago
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