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Papessa [141]
3 years ago
10

During a figure skating routine, Jackie and Peter skate apart with an angle of 15° between them. Jackie skates for 5 meters and

Peter skates for 7 meters. How far apart are the skaters? Round to the nearest hundredth of a meter.
Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

Ans = 2.53m

Step-by-step explanation:

It is a simple law of Cosine, on a right-angle triangle draw the length as 5 and the base as 7 the angle is 15°. Find x.

So x = 5² +7² - 2 (5) (7)cos 15°

Solve this and you get your answer.

Hope this was helpful :)

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Arlecino [84]

Answer:

62.1467 square units (correct to four decimal places)

Step-by-step explanation:

Let's say the triangle is;

A(-7,5)

B(-4,1)

C(0,1)

Let's say also that AB = a , BC = b  and AC = c

By measurement BC = 4 units , AB = 5 units (applying Pythagorean theorem) and AC = 8.1 units (correct to one decimal place) also through Pythagorean theorem.

Area of this triangle = \sqrt{p(p-a)(p-b)(p-c)} , where p is half the perimeter of the triangle

p = \frac{1}{2}(4 + 8 + 8.1) = 8.55 units

Area = \sqrt{8.55(8.55-5)(8.55-4)(8.55-8.1)} = 62.1467 square units (correct to four decimal places)

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Pani-rosa [81]

Answer:

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Step-by-step explanation:

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Answer:

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