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andreev551 [17]
2 years ago
15

A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is

Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

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A coffee distributor plans to mix some Rift Valley coffee that normally sells for $12.10 per pound with some Mexican Shade Grown
-BARSIC- [3]

Answer:

24 pounds of Rift Valley coffee

26 pounds of Mexican Shade Grown coffee

Step-by-step explanation:

If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:

R + M = 50

12.10 R + 13.10 M = 12.62 (50)

Substitute:

12.10 R + 13.10 (50 − R) = 12.62 (50)

12.10 R + 655 − 13.10 R = 631

R = 24

M = 26

8 0
3 years ago
Solve 7 ÷ one half = ___.<br> Question 1 options:<br><br> 14<br><br> 15<br><br> 24<br><br> 40
Norma-Jean [14]

Answer:

O 14

Step-by-step explanation:

hope it is helpful :)

7 0
2 years ago
What number is halfway between 13 and 31
ankoles [38]

To find the answer to that, you have to see how many numbers are between 13 and 31. There are 18 numbers between 13 and 31. Divide 18 by 2 and you will get the number halfway. 9 is halfway between 13 and 31. So, add 9 to 13 and you get 22.

The answer is 22.

Hope I helped

4 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words.
shepuryov [24]

The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².

<h3>How to illustrate the graph?</h3>

The vertex of this parabola is (-1, 8).  It opens downward, so the x² term has a negative coefficient.  The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).

Through the vertex form of the equation of a parabola we get:

y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².

Find coefficient a by substituting the coordinates (-3, 0) in this equation:

0 - 8 = a(-3 + 1)^2, or

-8 = a(-2)² or a = -2

The desired equation is y - 8 = -2(x + 1)^2

Learn more about graph on:

brainly.com/question/19040584

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7 0
2 years ago
Point R is located between points Q and S. Point R is located at (3, 2) and point S is located at (8, 15). If R is the midpoint,
Lubov Fominskaja [6]

Answer:

(5.5,8.5)

Step-by-step explanation:

(8+3)÷2=5.5

(15+2)÷2=8.5

7 0
3 years ago
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