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kow [346]
3 years ago
14

Can someone help me this will help me pass math :(? I need steps for both questions

Mathematics
1 answer:
andrezito [222]3 years ago
4 0

Answer:

A. You can not use the Pythagorean theorem because you would need the length of at least two sides but the triangle only provides the length of one.

B. x ≈ 7 ft.   y ≈ 6 ft.

Step-by-step explanation:

Sin(51) = \frac{x}{9}

Sin(51)*9 = x

x = 6.99431

x ≈ 7 ft.

Now you can use the Pythagorean theorem.

a^{2} +b^{2} =c^{2}

7^{2} +b^{2} =9^{2}

49+b^{2} =81

b^{2} = 32

\sqrt{b^{2} } =\sqrt{32}

b = 5.65685

y ≈ 6 ft.

Or, continue to use the cosine.

Cos(51) = \frac{y}{9}

Cos(51)*9 = y

y = 5.66388

y ≈ 6 ft.

Answer Check

We know c = 9 ft.

a^{2}+ b^{2}= c^{2} \\7^{2}+ 6^{2}= c^{2}\\49+36=c^{2}\\ 85 = c^{2} \\\sqrt{85} =\sqrt{c^{2} } \\c=9.21954\\c=9 ft.

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