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Geometry SY222113-3003

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A boat anchored in a tidal area is affected by forces

V

(current) ja

T

(wind). The magnitudes of the forces are 

V

=

600

 

N

 and 

T

=

150

 

N

.

What is the direction of the total force acting on the boat?

Give the answer with an accuracy of 0.1 degrees relative to the V vector. 

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The two sides of a triangle are 6.2 and 6.8, and the angle between them is 160.7°.

Determine the area of the triangle with an accuracy of one decimal place.

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How much is 0.38 radians in degrees?

Answer with an accuracy of 0.01 degrees.

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The lengths of two sides of a triangle are 3 and 5, and the angle between them is 0.77 radians.

How long is the third side of the triangle?

Answer with an accuracy of 2 decimal places.

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The legs of a right-angled triangle are 3.1 and 4.4.

The angle bisector divides the leg 4.4 into two parts.

How long is the part that starts from the right angle and ends at the angle bisector? Answer with an accuracy of 0.1

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The guy wires are attached to the mast at a height of 25 m and they form a 30° angle with the mast. The slope of the hill is 8.1°.

How long is the shorter guy wire?

Answer with an accuracy of 0.1 m.

kuva

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