Question

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

Answer 1

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.

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