How do you find the measure
1 answer:
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Answer:
Step-by-step explanation:
we know that
The circumference of a circle is equal to
In this problem we have
substitute
Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of
See the picture to better understand the problem
we know that
in the triangle ABC
∠A+∠B+∠C=180°
find ∠C
∠C=180-[80+65]------> ∠C=35°
Applying the law of sines
AB/sin C=CB/sin A
solve for CB
CB=AB*sin A/sin C-----> CB=45*sin 65/sin 35-----> CB=71.10 ft
the answer is
<span>the distance from person B to the top of the hill is 71.10 feet</span>
we know that
in the triangle ABC
∠A+∠B+∠C=180°
find ∠C
∠C=180-[80+65]------> ∠C=35°
Applying the law of sines
AB/sin C=CB/sin A
solve for CB
CB=AB*sin A/sin C-----> CB=45*sin 65/sin 35-----> CB=71.10 ft
the answer is
<span>the distance from person B to the top of the hill is 71.10 feet</span>