Mathematics: Acircular race track has the diameter of 1/2 mile. how far does the car travel in one lap around the track?

Acircular race track has the diameter of 1/2 mile.

batmanmarie2004

21.01.2023

The missing angle is 60⁰

The length of side a is 12.12

The length of side c is 14

Step-by-step explanation:

The missing angle is a complementary angle which is calculated as follows;

θ = 90 - 30

θ = 60

The missing angle is 60⁰

The length of side a is calculated as follows;

$tan (30) = \frac{7}{a} \\\\a = \frac{7}{tan(30)} \\\\a = 12.12 \ units$

The length of side c is calculated as follows;

$sin(30) = \frac{7}{c} \\\\c = \frac{7}{sin(30)} \\\\c = 14 \ units$

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