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2 years ago

Find the measure of the indicated arc

Mathematics

1 answer:

dimaraw [331]2 years ago

5 0

Answer:

arc of WXY= 224°

Step-by-step explanation:

measure of angle C is half of the WXY arc

this means WXY×1/2=C

112°=1/2 WXY (cross production)

WXY=2×112°

WXY=224 °

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Answer:

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Step-by-step explanation:

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Someone please help me with this one quick

astraxan [27]

The length of AC is 16 km.

Solution:

Given data:

AB = c = 14 km, ∠A = 30° and ∠B = 89°

AC = b = ?

Let us first find angle C:

Sum of all angles in a triangle = 180°

m∠A+ m∠B + m∠C = 180°

30° + 89° + m∠C = 180°

119° + m∠C = 180°

Subtract 119° from both sides, we get

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To find the length of AC:

Using sine formula:

$$\frac{b}{\sin B } =\frac{c}{\sin C}$

Substitute the given values in the formula.

$$\frac{b}{\sin 89^\circ } =\frac{14}{\sin 61^\circ }$

Multiply by sin 89° on both sides.

$$\sin 89^\circ \times \frac{b}{\sin 89^\circ } =\frac{14}{\sin 61^\circ } \times \sin 89^\circ$

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$b=16$

The length of AC is 16 km.

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