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3 years ago

This is geometry please help 30 points!

Mathematics

1 answer:

frutty [35]3 years ago

6 0

Answer:

sin; 7.7

Step-by-step explanation:

✔️Reference angle = 50°

Length of side opposite to reference angle = b

Hypotenuse = 10

✅The trigonometric function to use is sin

✔️To find b (opp), we would use:

Sin 50 = opp/hyp

Sin 50 = b/10

10 × sin 50 = b

b = 7.66044443 ≈ 7.7 (nearest tenth)

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Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

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To find the lengths of the bases.

Formula

The area of the trapezoid is

$A=\frac{1}{2} (b_{1} +b_{2} )h$

where, h be the height of the trapezoid

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As per the given problem,

$b_{2}=b_{1} +6$

Now,

Putting, A=72, $b_{2}=b_{1}+6$ and h=6 we get,

$\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72$

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