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garri49 [273]
3 years ago
8

What is the height of a trapezoid with a area of 79.2 and bases 4.2 and 9

Mathematics
2 answers:
julsineya [31]3 years ago
8 0
The answer to this problem is 12. If you want me to write it out I can
ycow [4]3 years ago
8 0
A=area
b₁=base 1
b₂=base 2
h=heigth

A=(1/2)h(b₁+b₂)
79.2=(1/2)h(4.2+9)
79.2=(1/2) h (13.2)
h=(79.2 * 2) / (13.2)=158.4 / 13.2=12

Answer: height=12
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A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

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The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

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The angle of elevation is about 58°.

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