A geologist wants to measure the diameter of a crater. From her camp, it is 4.1 miles to the northernmost point of the crater and 2.1 miles to the southernmost point. If the angle between the two lines of sight is 107, what is the diameter of the crater? Round your answer to the nearest hundredth of a mile.

3.20miles

Step-by-step explanation:

The total distance travelled will be the perimeter of the sector because the line will be in form of a sector since the angle between them is obtuse i.e 107°

Using the formula for calculating the perimeter of a sector.

Perimeter = L + 2r

L is the length of the arc

Perimeter = θ/360 × 2πr + 2r

4.1+2.1 = (107/360×2πr)+2r

6.2 = 1.87r + 2r

6.2 = 3.87r

r = 6.2/3.87

r = 1.60m

Diameter = 2r

Diameter = 2(1.6)

Diameter = 3.20miles

70,000 + 6,000 + 800 + 30

step-by-step explanation:

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step-by-step explanation: