Answer:
Arc KL = 30°
Arc JK = 90°
Step-by-step explanation:
Arc KL is a connected to a central angle with the measurement of 30°. Because it is a central angle, the arc's measurement will be the same as the central angle's measurement:
Arc KL = 30°
Arc JK is connected to a central angle that has a right angle measurement sign. A right angle = 90°. Because it is a central angle, the arc's measurement will be the same as the central angle's measurement:
Arc JK = 90°
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Answer:
C. A histogram
Step-by-step explanation:
Histograms are commonly used to denote the frequency of a range of categories of a set of values. Generally, the y-axis represents frequency and the x-axis represents intervals of data based on the given set of values.
Answer:
about 102 feet
Step-by-step explanation:
From the definition of the cotangent function, we can write ...
h·cot(α1) = d1
h·cot(α2) = d2
Where h is the building height and (α1, d1), (α2, d2) are (elevation angle, distance from the building) for the two cases.
We have d2 - d1 = 10 ft, so ...
h(cot(68°) -cot(73°)) = 10 ft
h = (10 ft)/(cot(68°) -cot(73°)) ≈ (10 ft)/(0.404026 -0.305731) ≈ 101.73 ft
The building is about 102 feet tall.