Harley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac, has a length of 32.9848450049 cm. what is the value of a (the length of bc)?

Value of a ( Length of BC) = 16.4925cm

Step-by-step explanation:

Given: In right Δ ABC, m∠B = 90°, and m∠A = 30° and Hypotenuse AC = 32.9848450049 cm.

To find: Length of BC (value of a) = ?

Sol: In right Δ ABC,

m∠A  +  m∠B +  m∠C = 180° ( sum of angles of a triangle)

30° + 90° +  m∠C = 180°

m∠C = 180° - 120° = 60°

Now Using trigonometry ratios, in right Δ ABC,

   (∵ cos 60° = 1/2 and

Therefore, value of a ( Length of BC) = 16.4925 cm.

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step-by-step explanation:

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.