The flight path of a plane is a straight line from city J J to city K K. The roads from city J J to city K K take the long way around, traveling 9.4 9.4 miles south and then 15.1 15.1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth? M ∠ J ≈ ? M∠J≈

Answers

Answer 1

Answer:

58.1 degrees

Step-by-step explanation:

Given the following

JK = 9.4miles (towards south) negative y axis

If the move 15.1 miles towards east (that will be towards the positive x axis)

Using the SOH CAH TOA identity

opposite= 15.1 miles(side facing m<J)

adjacent= JK = 9.4miles

tan theta = opposite/adjacent

tan m<J = 15.1/9.4

tan m<J = 1.6063

m<J = arctan (1.6063)

m<J = 58.09 degrees

Hence the measure of m<J to the nearest tenth is 58.1 degrees


Related Questions

Write - 1.5y = 4.5x - 9 in standard form .​

Answers

The standard from of the equation - 1.5y = 4.5x - 9 is 3x + y = 6.

What is an equation?

A mathematical equation is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given equation is - 1.5y = 4.5x - 9. The standard form of an equation is given as:-

ax + by = c

Reduce the equation -1.5y = 4.5x - 9 in standard form:-

-1.5y = 4.5x - 9

4.5x + 1.5y = 9

3x + y = 6

Therefore, the standard from of the equation - 1.5y = 4.5x - 9 is 3x + y = 6.

To know more about an equation follow

https://brainly.com/question/187506

#SPJ2

3. A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 8 in. by 12 in. The length and width of the actual flower bed will be 26 times larger than the length and width in the drawing.
(a) What is the perimeter of the drawing? Show all calculations that lead to the answer and include units.
(b) What is the perimeter of the actual flower bed? Show all calculations that lead to the answer and include units.
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Answers

Answer:I dont know if this is right but

A: 384 in.

B: 1040 in. = 86 ft

C: because the dimensions are multiplied by 26 inches, the perimeter for the actual flower bed is converted into feet.

Step-by-step explanation:

A: (8*2)+(12*2) = 384 in.

B: ((8*26)*2)+((12*26)*2) = 1040 in. = 86 ft.

Answer:

3. A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 8 in. by 12 in. The length and width of the actual flower bed will be 26 times larger than the length and width in the drawing.  

(a) What is the perimeter of the drawing? Show all calculations that lead to the answer and include units.

(b) What is the perimeter of the actual flower bed? Show all calculations that lead to the answer and include units.

(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 26? Write the final answer in a sentence and show supporting calculations to arrive at the answer.  

Answer:  

(A) 8+8+12+12=

40in = 3ft 4in

 

(B) 8 x 26= 208

12 x 26= 312

(208 x 2) + (312 x 2) = 1040in = 86ft

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

If the question is asking us how fast must Larry travel we are asking about his speed. The speed is equal to distance divided by time, therefor Larry must travel with the following speed.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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