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Sergeu [11.5K]
3 years ago
11

You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it

makes an angle of 65 degrees with the horizontal direction. The kite is flying at an altitude of feet.
Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.

And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.

This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°

A = 90° - 65° = 25°

Then the altitude of the kite is the adjacent cathetus to this angle.

We can use the relation:

sin(A) = Adjacent cathetus/hypotenuse.

Sin(25°) = X/350ft

Sin(25°)*350ft = X = 147.9m

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The governor of state A earns 50, 440 more than the governor of state B. If the total of their salaries is $283,910, can you fin
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Use what we know to make equations in order to solve for each governor's salary.
A=governor of state A
B=governor of state B
A+b=283,910. (Their salaries combined)
A=B+50,440 (A earns 50,440 more than B)
Sub A into the original formula to solve for B
B+50,440+b=283,910
2B=283,910-50,440
2B=233,470
B=116,730
Sub B into the formula that's equal to A
A=B+50,440
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because each dimension of A is 3 tomes each dimension of B, that will mean that both the length and width of B are multiplied by 3 in order to get the length and width of A, so the area of B is length×width=162 and the area of A (in terms of B's dimensions) is 3xlength×3×width=9×length×width=9×162=1458 sq cm

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Answer:

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Step-by-step explanation:

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Formulas used:

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The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:

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