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Anna [14]
2 years ago
11

Help.

Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

1035.33156649 meters high is the helicopter flying over the building.

Given that, an observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation.

We need to find how high is the helicopter flying over the building.

<h3>How to find the height of the building using trigonometry?</h3>

To measure the heights and distances of different objects, we use trigonometric ratios.

Here, use the Tangent rule to calculate the height of the building.

tan(angle) = opposite/adjacent

Now, tan 49°=h/900

⇒h=1035.33156649 meters

Therefore, 1035.33156649 meters high is the helicopter flying over the building.

To learn more about the angle of elevation visit:

brainly.com/question/21137209.

#SPJ1

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The perimeter of the square below is 36. What is the length of the diagonal, x? A.6 B.9 C.62–√ D.92–√
siniylev [52]

Answer:

9\sqrt{2}

Step-by-step explanation: did it

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3 years ago
Four times a number minus twice another number is -8. The sum of the two number is 19.Find the numbers
grigory [225]
1. To solve this exercise, you must make a system of equations.

 2. You have that f<span>our times a number minus twice another number is -8:
</span>
 4x-2y=-8

 3. And t<span>he sum of the two number is 19:
</span>
 x+y=19

 4. As you can see, you have two equations:

 4x-2y=-8   (i)
 x+y=19     (ii)

 5. Let's clear the "x" from the equation (ii):

 x=19-y

 6. Now, you need to susbtitute x=19-y into the equation (i):

 4x-2y=-8
 4(19-y)-2y=-8
 76-4y-2y=-8
 76-6y=-8
 -6y=-8-76
 -6y=-84
 y=-84/-6
 y=14

 7. You must susbstitute y=14 into the equation (ii) and clear "x":

 x+y=19
 x+14=19
 x=19-14
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 The answer is: 5 and 14
6 0
3 years ago
Solve the inequality –3(r – 5) + 7 &gt; 28.
docker41 [41]

Answer: r<-2

Step-by-step explanation:

-3(r-5)+7>28

-3(r-5)+7-7>28-7

-3(r-5)>21

3(r-5)/3 < -21/3

r-5<-7

r-5+5<-7+5

r<-2

5 0
3 years ago
1. A ladder that has a length of 50 ft leans
ddd [48]
35 ft is the answer
7 0
3 years ago
Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the
fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance h between the kite and Jacks house, but first we need to find the x, y and then d.

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For y:

sin(65 \°)=\frac{y}{45 ft} (1)

Where y is the opposite side to the angle and 45 ft the hypotenuse.

Isolating y:

y=40.78 ft (2)

For x:

cos(65 \°)=\frac{x}{45 ft} (3)

Where x is the adjacent side to the angle.

Isolating x:

y=19.017 ft (4)

Finding d:

d=x+100 ft (5)

d=19.017 ft +100 ft

d=119.017 ft (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house h and the sides are the values calculated in (4) and (6).

So, in this case we will use the <u>Pithagorean theorem</u>:

h^{2}=y^{2} +d^{2} (7)

Isolating h and writing with the known values:

h=\sqrt{y^{2} +d^{2}} (8)

h=\sqrt{(19.017 ft)^{2} +(119.017 ft)^{2}} (9)

h=125.80 ft This is the distance between the kite and the house

3 0
3 years ago
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