11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:51:20 Sofia cuts a piece of felt in the shape of a kite for an art project. The
top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm
1 answer:
We assume the figure DEFG has vertices labeled clockwise from the top, so that diagonal EG spans the distance between vertices where sides of different length meet. Then half that diagonal (12) will be one leg of two different right triangles.
One right triangle will have a hypotenuse of 20 and a leg of 12. Its other leg is found using the Pythagorean theorem as
√(20²-12²) = 16
The other right triangle will have a hypotenuse of 13 and a leg of 12. Its other leg is
√(13²-12²) = 5
Then the total length of diagonal DF is 16 + 5.
The length of the other diagonal, DF, is 21 cm.
One right triangle will have a hypotenuse of 20 and a leg of 12. Its other leg is found using the Pythagorean theorem as
√(20²-12²) = 16
The other right triangle will have a hypotenuse of 13 and a leg of 12. Its other leg is
√(13²-12²) = 5
Then the total length of diagonal DF is 16 + 5.
The length of the other diagonal, DF, is 21 cm.
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So, the right option is 1. so if my ans was helpful u can follow me.
A right triangle will be formed with 2.2 km as the hypotenuse, 0.5 degrees as the angle, and an unknown height (see attachment).
Recall the trigonmetric ratios sine, cosine, and tangent that can be used for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>θ (theta) refers to the angle (not the right angle). In this case, θ is the given angle of 0.5°.
In this problem, you will use sine because there is a side opposite to the angle (the unknown side h) and the hypotenuse, and sine relates those two sides.
Let the variable h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km
Hope I helped! If you have questions on any of the steps, please comment below.</span>
Recall the trigonmetric ratios sine, cosine, and tangent that can be used for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>θ (theta) refers to the angle (not the right angle). In this case, θ is the given angle of 0.5°.
In this problem, you will use sine because there is a side opposite to the angle (the unknown side h) and the hypotenuse, and sine relates those two sides.
Let the variable h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km
Hope I helped! If you have questions on any of the steps, please comment below.</span>