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anzhelika [568]
3 years ago
12

B Given: m AB =m BC , m∠x=60°, m∠y=15° Find: m AC

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

105

Step-by-step explanation:

because all the angles added up have to = 180

60+15=75

75-180=105

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Determine whether each expression can be used to find the length of side AB. Match Yes or No for each
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Answer:

(a)\ AB = \frac{7}{\sin (B)}  \to Yes

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(c)\ AB = \frac{24}{\cos (A)} \to No

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Step-by-step explanation:

Given

BC =24

AC = 7

Required

Select Yes or No for the given options

(a)\ AB = \frac{7}{\sin (B)}  \to Yes

Considering the sine of angle B, we have:

\sin(B) = \frac{Opposite}{Hypotenuse}

\sin(B) = \frac{7}{AB}

Make AB, the subject

AB = \frac{7}{\sin(B)}

(b)\ AB = \frac{24}{\cos (B)} \to Yes

Considering the cosine of angle B, we have:

\cos(B) = \frac{Adjacent}{Hypotenuse}

\cos(B) = \frac{24}{AB}

Make AB the subject

AB = \frac{24}{\cos(B)}

(c)\ AB = \frac{24}{\cos (A)} \to No

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\cos(A) = \frac{Adjacent}{Hypotenuse}

\cos(A) = \frac{7}{AB}

Make AB the subject

AB = \frac{7}{\cos(A)}

(d)\ AB = \frac{7}{\cos (A)}  \to Yes

<em>This has been shown in (c) above</em>

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